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Finding the Fourth Proportional to 15,732.96, 21,709.56 and 8,658.96

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Solution

The fourth proportional to 15,732.96, 21,709.56 and 8,658.96 is: 11,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.96 : 21,709.56 = 8,658.96 : x
  2. Step 2: Convert to fraction form
    15,732.96/21,709.56 = 8,658.96/x
  3. Step 3: Cross multiply
    15,732.96x = 21,709.56 × 8,658.96
  4. Step 4: Simplify right side
    15,732.96x = 187,982,211.66
  5. Step 5: Solve for x
    x = 187,982,211.66/15,732.96
  6. Step 6: Final answer
    x = 11,948.31

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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.