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Finding the Fourth Proportional to 8,407.90, 12,609.84 and 3,725.38

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Solution

The fourth proportional to 8,407.90, 12,609.84 and 3,725.38 is: 5,587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.90 : 12,609.84 = 3,725.38 : x
  2. Step 2: Convert to fraction form
    8,407.90/12,609.84 = 3,725.38/x
  3. Step 3: Cross multiply
    8,407.90x = 12,609.84 × 3,725.38
  4. Step 4: Simplify right side
    8,407.90x = 46,976,445.74
  5. Step 5: Solve for x
    x = 46,976,445.74/8,407.90
  6. Step 6: Final answer
    x = 5,587.18

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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.