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Finding the Fourth Proportional to 15,734, 21,712.94 and 8,660.38

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Solution

The fourth proportional to 15,734, 21,712.94 and 8,660.38 is: 11,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734 : 21,712.94 = 8,660.38 : x
  2. Step 2: Convert to fraction form
    15,734/21,712.94 = 8,660.38/x
  3. Step 3: Cross multiply
    15,734x = 21,712.94 × 8,660.38
  4. Step 4: Simplify right side
    15,734x = 188,042,311.32
  5. Step 5: Solve for x
    x = 188,042,311.32/15,734
  6. Step 6: Final answer
    x = 11,951.34

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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.