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Finding the Fourth Proportional to 11,792, 16,272.24 and 6,487.40

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Solution

The fourth proportional to 11,792, 16,272.24 and 6,487.40 is: 8,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792 : 16,272.24 = 6,487.40 : x
  2. Step 2: Convert to fraction form
    11,792/16,272.24 = 6,487.40/x
  3. Step 3: Cross multiply
    11,792x = 16,272.24 × 6,487.40
  4. Step 4: Simplify right side
    11,792x = 105,564,529.78
  5. Step 5: Solve for x
    x = 105,564,529.78/11,792
  6. Step 6: Final answer
    x = 8,952.22

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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.