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Finding the Fourth Proportional to 7,439, 10,265.82 and 4,127

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Solution

The fourth proportional to 7,439, 10,265.82 and 4,127 is: 5,695.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,439 : 10,265.82 = 4,127 : x
  2. Step 2: Convert to fraction form
    7,439/10,265.82 = 4,127/x
  3. Step 3: Cross multiply
    7,439x = 10,265.82 × 4,127
  4. Step 4: Simplify right side
    7,439x = 42,367,039.14
  5. Step 5: Solve for x
    x = 42,367,039.14/7,439
  6. Step 6: Final answer
    x = 5,695.26

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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.