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Finding the Fourth Proportional to 10,996.38, 15,174.81 and 6,280.02

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Solution

The fourth proportional to 10,996.38, 15,174.81 and 6,280.02 is: 8,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.38 : 15,174.81 = 6,280.02 : x
  2. Step 2: Convert to fraction form
    10,996.38/15,174.81 = 6,280.02/x
  3. Step 3: Cross multiply
    10,996.38x = 15,174.81 × 6,280.02
  4. Step 4: Simplify right side
    10,996.38x = 95,298,110.30
  5. Step 5: Solve for x
    x = 95,298,110.30/10,996.38
  6. Step 6: Final answer
    x = 8,666.32

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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.