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Finding the Fourth Proportional to 8,221.64, 12,332.46 and 7,508.84

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Solution

The fourth proportional to 8,221.64, 12,332.46 and 7,508.84 is: 11,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.64 : 12,332.46 = 7,508.84 : x
  2. Step 2: Convert to fraction form
    8,221.64/12,332.46 = 7,508.84/x
  3. Step 3: Cross multiply
    8,221.64x = 12,332.46 × 7,508.84
  4. Step 4: Simplify right side
    8,221.64x = 92,602,468.95
  5. Step 5: Solve for x
    x = 92,602,468.95/8,221.64
  6. Step 6: Final answer
    x = 11,263.26

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Similar ratio
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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.