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Finding the Fourth Proportional to 8,311.64, 12,463.80 and 3,113.87

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Solution

The fourth proportional to 8,311.64, 12,463.80 and 3,113.87 is: 4,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.64 : 12,463.80 = 3,113.87 : x
  2. Step 2: Convert to fraction form
    8,311.64/12,463.80 = 3,113.87/x
  3. Step 3: Cross multiply
    8,311.64x = 12,463.80 × 3,113.87
  4. Step 4: Simplify right side
    8,311.64x = 38,810,575.02
  5. Step 5: Solve for x
    x = 38,810,575.02/8,311.64
  6. Step 6: Final answer
    x = 4,669.43

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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.