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Finding the Fourth Proportional to 8,471.96, 12,711.43 and 3,725.68

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Solution

The fourth proportional to 8,471.96, 12,711.43 and 3,725.68 is: 5,590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.96 : 12,711.43 = 3,725.68 : x
  2. Step 2: Convert to fraction form
    8,471.96/12,711.43 = 3,725.68/x
  3. Step 3: Cross multiply
    8,471.96x = 12,711.43 × 3,725.68
  4. Step 4: Simplify right side
    8,471.96x = 47,358,730.64
  5. Step 5: Solve for x
    x = 47,358,730.64/8,471.96
  6. Step 6: Final answer
    x = 5,590.05

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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.