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Finding the Fourth Proportional to 5,436.68, 7,502.82 and 3,078.68

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Solution

The fourth proportional to 5,436.68, 7,502.82 and 3,078.68 is: 4,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.68 : 7,502.82 = 3,078.68 : x
  2. Step 2: Convert to fraction form
    5,436.68/7,502.82 = 3,078.68/x
  3. Step 3: Cross multiply
    5,436.68x = 7,502.82 × 3,078.68
  4. Step 4: Simplify right side
    5,436.68x = 23,098,781.88
  5. Step 5: Solve for x
    x = 23,098,781.88/5,436.68
  6. Step 6: Final answer
    x = 4,248.69

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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.