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Finding the Fourth Proportional to 11,332.10, 16,978.96 and 6,940.38

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Solution

The fourth proportional to 11,332.10, 16,978.96 and 6,940.38 is: 10,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.10 : 16,978.96 = 6,940.38 : x
  2. Step 2: Convert to fraction form
    11,332.10/16,978.96 = 6,940.38/x
  3. Step 3: Cross multiply
    11,332.10x = 16,978.96 × 6,940.38
  4. Step 4: Simplify right side
    11,332.10x = 117,840,434.40
  5. Step 5: Solve for x
    x = 117,840,434.40/11,332.10
  6. Step 6: Final answer
    x = 10,398.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.