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Finding the Fourth Proportional to 8,713, 13,067.58 and 2,869.80

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Solution

The fourth proportional to 8,713, 13,067.58 and 2,869.80 is: 4,304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713 : 13,067.58 = 2,869.80 : x
  2. Step 2: Convert to fraction form
    8,713/13,067.58 = 2,869.80/x
  3. Step 3: Cross multiply
    8,713x = 13,067.58 × 2,869.80
  4. Step 4: Simplify right side
    8,713x = 37,501,341.08
  5. Step 5: Solve for x
    x = 37,501,341.08/8,713
  6. Step 6: Final answer
    x = 4,304.07

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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.