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Finding the Fourth Proportional to 8,713.76, 13,070.43 and 2,139.93

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Solution

The fourth proportional to 8,713.76, 13,070.43 and 2,139.93 is: 3,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.76 : 13,070.43 = 2,139.93 : x
  2. Step 2: Convert to fraction form
    8,713.76/13,070.43 = 2,139.93/x
  3. Step 3: Cross multiply
    8,713.76x = 13,070.43 × 2,139.93
  4. Step 4: Simplify right side
    8,713.76x = 27,969,805.27
  5. Step 5: Solve for x
    x = 27,969,805.27/8,713.76
  6. Step 6: Final answer
    x = 3,209.85

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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.