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Finding the Fourth Proportional to 8,713.78, 13,072.29 and 2,870.80

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Solution

The fourth proportional to 8,713.78, 13,072.29 and 2,870.80 is: 4,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.78 : 13,072.29 = 2,870.80 : x
  2. Step 2: Convert to fraction form
    8,713.78/13,072.29 = 2,870.80/x
  3. Step 3: Cross multiply
    8,713.78x = 13,072.29 × 2,870.80
  4. Step 4: Simplify right side
    8,713.78x = 37,527,930.13
  5. Step 5: Solve for x
    x = 37,527,930.13/8,713.78
  6. Step 6: Final answer
    x = 4,306.73

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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.