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Finding the Fourth Proportional to 15,787.25, 21,785.99 and 8,713.52

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Solution

The fourth proportional to 15,787.25, 21,785.99 and 8,713.52 is: 12,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,787.25 : 21,785.99 = 8,713.52 : x
  2. Step 2: Convert to fraction form
    15,787.25/21,785.99 = 8,713.52/x
  3. Step 3: Cross multiply
    15,787.25x = 21,785.99 × 8,713.52
  4. Step 4: Simplify right side
    15,787.25x = 189,832,507.09
  5. Step 5: Solve for x
    x = 189,832,507.09/15,787.25
  6. Step 6: Final answer
    x = 12,024.42

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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.