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Finding the Fourth Proportional to 8,318.64, 12,472.14 and 3,120

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Solution

The fourth proportional to 8,318.64, 12,472.14 and 3,120 is: 4,677.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.64 : 12,472.14 = 3,120 : x
  2. Step 2: Convert to fraction form
    8,318.64/12,472.14 = 3,120/x
  3. Step 3: Cross multiply
    8,318.64x = 12,472.14 × 3,120
  4. Step 4: Simplify right side
    8,318.64x = 38,913,076.80
  5. Step 5: Solve for x
    x = 38,913,076.80/8,318.64
  6. Step 6: Final answer
    x = 4,677.82

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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.