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Finding the Fourth Proportional to 6,877, 9,490.42 and 3,733.18

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Solution

The fourth proportional to 6,877, 9,490.42 and 3,733.18 is: 5,151.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877 : 9,490.42 = 3,733.18 : x
  2. Step 2: Convert to fraction form
    6,877/9,490.42 = 3,733.18/x
  3. Step 3: Cross multiply
    6,877x = 9,490.42 × 3,733.18
  4. Step 4: Simplify right side
    6,877x = 35,429,446.14
  5. Step 5: Solve for x
    x = 35,429,446.14/6,877
  6. Step 6: Final answer
    x = 5,151.88

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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.