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Finding the Fourth Proportional to 10,963, 15,132.78 and 6,547

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Solution

The fourth proportional to 10,963, 15,132.78 and 6,547 is: 9,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963 : 15,132.78 = 6,547 : x
  2. Step 2: Convert to fraction form
    10,963/15,132.78 = 6,547/x
  3. Step 3: Cross multiply
    10,963x = 15,132.78 × 6,547
  4. Step 4: Simplify right side
    10,963x = 99,074,310.66
  5. Step 5: Solve for x
    x = 99,074,310.66/10,963
  6. Step 6: Final answer
    x = 9,037.15

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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.