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Finding the Fourth Proportional to 8,070.75, 12,110.75 and 3,139.76

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Solution

The fourth proportional to 8,070.75, 12,110.75 and 3,139.76 is: 4,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.75 : 12,110.75 = 3,139.76 : x
  2. Step 2: Convert to fraction form
    8,070.75/12,110.75 = 3,139.76/x
  3. Step 3: Cross multiply
    8,070.75x = 12,110.75 × 3,139.76
  4. Step 4: Simplify right side
    8,070.75x = 38,024,874.77
  5. Step 5: Solve for x
    x = 38,024,874.77/8,070.75
  6. Step 6: Final answer
    x = 4,711.44

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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.