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Finding the Fourth Proportional to 6,781.92, 9,359.88 and 4,129.71

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Solution

The fourth proportional to 6,781.92, 9,359.88 and 4,129.71 is: 5,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.92 : 9,359.88 = 4,129.71 : x
  2. Step 2: Convert to fraction form
    6,781.92/9,359.88 = 4,129.71/x
  3. Step 3: Cross multiply
    6,781.92x = 9,359.88 × 4,129.71
  4. Step 4: Simplify right side
    6,781.92x = 38,653,590.03
  5. Step 5: Solve for x
    x = 38,653,590.03/6,781.92
  6. Step 6: Final answer
    x = 5,699.51

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1.5x scale

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.