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Finding the Fourth Proportional to 10,502.92, 15,661.49 and 9,787.96

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Solution

The fourth proportional to 10,502.92, 15,661.49 and 9,787.96 is: 14,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.92 : 15,661.49 = 9,787.96 : x
  2. Step 2: Convert to fraction form
    10,502.92/15,661.49 = 9,787.96/x
  3. Step 3: Cross multiply
    10,502.92x = 15,661.49 × 9,787.96
  4. Step 4: Simplify right side
    10,502.92x = 153,294,037.66
  5. Step 5: Solve for x
    x = 153,294,037.66/10,502.92
  6. Step 6: Final answer
    x = 14,595.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.