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Finding the Fourth Proportional to 7,177.12, 9,901.38 and 4,381

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Solution

The fourth proportional to 7,177.12, 9,901.38 and 4,381 is: 6,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.12 : 9,901.38 = 4,381 : x
  2. Step 2: Convert to fraction form
    7,177.12/9,901.38 = 4,381/x
  3. Step 3: Cross multiply
    7,177.12x = 9,901.38 × 4,381
  4. Step 4: Simplify right side
    7,177.12x = 43,377,945.78
  5. Step 5: Solve for x
    x = 43,377,945.78/7,177.12
  6. Step 6: Final answer
    x = 6,043.92

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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.