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Finding the Fourth Proportional to 7,863.40, 11,781.72 and 3,909.40

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Solution

The fourth proportional to 7,863.40, 11,781.72 and 3,909.40 is: 5,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.40 : 11,781.72 = 3,909.40 : x
  2. Step 2: Convert to fraction form
    7,863.40/11,781.72 = 3,909.40/x
  3. Step 3: Cross multiply
    7,863.40x = 11,781.72 × 3,909.40
  4. Step 4: Simplify right side
    7,863.40x = 46,059,456.17
  5. Step 5: Solve for x
    x = 46,059,456.17/7,863.40
  6. Step 6: Final answer
    x = 5,857.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.