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Finding the Fourth Proportional to 8,357.74, 12,529.32 and 4,191.91

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Solution

The fourth proportional to 8,357.74, 12,529.32 and 4,191.91 is: 6,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.74 : 12,529.32 = 4,191.91 : x
  2. Step 2: Convert to fraction form
    8,357.74/12,529.32 = 4,191.91/x
  3. Step 3: Cross multiply
    8,357.74x = 12,529.32 × 4,191.91
  4. Step 4: Simplify right side
    8,357.74x = 52,521,781.80
  5. Step 5: Solve for x
    x = 52,521,781.80/8,357.74
  6. Step 6: Final answer
    x = 6,284.21

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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.