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Finding the Fourth Proportional to 8,339.57, 12,512.84 and 3,657.15

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Solution

The fourth proportional to 8,339.57, 12,512.84 and 3,657.15 is: 5,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.57 : 12,512.84 = 3,657.15 : x
  2. Step 2: Convert to fraction form
    8,339.57/12,512.84 = 3,657.15/x
  3. Step 3: Cross multiply
    8,339.57x = 12,512.84 × 3,657.15
  4. Step 4: Simplify right side
    8,339.57x = 45,761,314.52
  5. Step 5: Solve for x
    x = 45,761,314.52/8,339.57
  6. Step 6: Final answer
    x = 5,487.25

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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.