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Finding the Fourth Proportional to 15,732.34, 21,710.78 and 8,658.92

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Solution

The fourth proportional to 15,732.34, 21,710.78 and 8,658.92 is: 11,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.34 : 21,710.78 = 8,658.92 : x
  2. Step 2: Convert to fraction form
    15,732.34/21,710.78 = 8,658.92/x
  3. Step 3: Cross multiply
    15,732.34x = 21,710.78 × 8,658.92
  4. Step 4: Simplify right side
    15,732.34x = 187,991,907.16
  5. Step 5: Solve for x
    x = 187,991,907.16/15,732.34
  6. Step 6: Final answer
    x = 11,949.39

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.