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Finding the Fourth Proportional to 8,079.64, 12,114.49 and 3,143.52

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Solution

The fourth proportional to 8,079.64, 12,114.49 and 3,143.52 is: 4,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,079.64 : 12,114.49 = 3,143.52 : x
  2. Step 2: Convert to fraction form
    8,079.64/12,114.49 = 3,143.52/x
  3. Step 3: Cross multiply
    8,079.64x = 12,114.49 × 3,143.52
  4. Step 4: Simplify right side
    8,079.64x = 38,082,141.60
  5. Step 5: Solve for x
    x = 38,082,141.60/8,079.64
  6. Step 6: Final answer
    x = 4,713.35

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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.