Home / 8,102.64-12,149.10-3,166.40

Finding the Fourth Proportional to 8,102.64, 12,149.10 and 3,166.40

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Solution

The fourth proportional to 8,102.64, 12,149.10 and 3,166.40 is: 4,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.64 : 12,149.10 = 3,166.40 : x
  2. Step 2: Convert to fraction form
    8,102.64/12,149.10 = 3,166.40/x
  3. Step 3: Cross multiply
    8,102.64x = 12,149.10 × 3,166.40
  4. Step 4: Simplify right side
    8,102.64x = 38,468,833.66
  5. Step 5: Solve for x
    x = 38,468,833.66/8,102.64
  6. Step 6: Final answer
    x = 4,747.69

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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.