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Finding the Fourth Proportional to 8,400.32, 11,589 and 5,043.20

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Solution

The fourth proportional to 8,400.32, 11,589 and 5,043.20 is: 6,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.32 : 11,589 = 5,043.20 : x
  2. Step 2: Convert to fraction form
    8,400.32/11,589 = 5,043.20/x
  3. Step 3: Cross multiply
    8,400.32x = 11,589 × 5,043.20
  4. Step 4: Simplify right side
    8,400.32x = 58,445,644.80
  5. Step 5: Solve for x
    x = 58,445,644.80/8,400.32
  6. Step 6: Final answer
    x = 6,957.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.