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Finding the Fourth Proportional to 10,963, 15,125.32 and 6,488.24

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Solution

The fourth proportional to 10,963, 15,125.32 and 6,488.24 is: 8,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963 : 15,125.32 = 6,488.24 : x
  2. Step 2: Convert to fraction form
    10,963/15,125.32 = 6,488.24/x
  3. Step 3: Cross multiply
    10,963x = 15,125.32 × 6,488.24
  4. Step 4: Simplify right side
    10,963x = 98,136,706.24
  5. Step 5: Solve for x
    x = 98,136,706.24/10,963
  6. Step 6: Final answer
    x = 8,951.63

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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.