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Finding the Fourth Proportional to 15,756.90, 21,747.42 and 9,787.20

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Solution

The fourth proportional to 15,756.90, 21,747.42 and 9,787.20 is: 13,508.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756.90 : 21,747.42 = 9,787.20 : x
  2. Step 2: Convert to fraction form
    15,756.90/21,747.42 = 9,787.20/x
  3. Step 3: Cross multiply
    15,756.90x = 21,747.42 × 9,787.20
  4. Step 4: Simplify right side
    15,756.90x = 212,846,349.02
  5. Step 5: Solve for x
    x = 212,846,349.02/15,756.90
  6. Step 6: Final answer
    x = 13,508.14

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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.