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Finding the Fourth Proportional to 6,617.60, 9,932.80 and 5,644.80

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Solution

The fourth proportional to 6,617.60, 9,932.80 and 5,644.80 is: 8,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.60 : 9,932.80 = 5,644.80 : x
  2. Step 2: Convert to fraction form
    6,617.60/9,932.80 = 5,644.80/x
  3. Step 3: Cross multiply
    6,617.60x = 9,932.80 × 5,644.80
  4. Step 4: Simplify right side
    6,617.60x = 56,068,669.44
  5. Step 5: Solve for x
    x = 56,068,669.44/6,617.60
  6. Step 6: Final answer
    x = 8,472.66

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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.