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Finding the Fourth Proportional to 10,942.68, 15,098.58 and 6,463.38

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Solution

The fourth proportional to 10,942.68, 15,098.58 and 6,463.38 is: 8,918.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.68 : 15,098.58 = 6,463.38 : x
  2. Step 2: Convert to fraction form
    10,942.68/15,098.58 = 6,463.38/x
  3. Step 3: Cross multiply
    10,942.68x = 15,098.58 × 6,463.38
  4. Step 4: Simplify right side
    10,942.68x = 97,587,860.00
  5. Step 5: Solve for x
    x = 97,587,860.00/10,942.68
  6. Step 6: Final answer
    x = 8,918.10

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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.