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Finding the Fourth Proportional to 8,439.62, 12,659.46 and 2,596.20

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Solution

The fourth proportional to 8,439.62, 12,659.46 and 2,596.20 is: 3,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.62 : 12,659.46 = 2,596.20 : x
  2. Step 2: Convert to fraction form
    8,439.62/12,659.46 = 2,596.20/x
  3. Step 3: Cross multiply
    8,439.62x = 12,659.46 × 2,596.20
  4. Step 4: Simplify right side
    8,439.62x = 32,866,490.05
  5. Step 5: Solve for x
    x = 32,866,490.05/8,439.62
  6. Step 6: Final answer
    x = 3,894.31

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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.