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Finding the Fourth Proportional to 8,943.60, 13,429.80 and 6,754.80

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Solution

The fourth proportional to 8,943.60, 13,429.80 and 6,754.80 is: 10,143.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,943.60 : 13,429.80 = 6,754.80 : x
  2. Step 2: Convert to fraction form
    8,943.60/13,429.80 = 6,754.80/x
  3. Step 3: Cross multiply
    8,943.60x = 13,429.80 × 6,754.80
  4. Step 4: Simplify right side
    8,943.60x = 90,715,613.04
  5. Step 5: Solve for x
    x = 90,715,613.04/8,943.60
  6. Step 6: Final answer
    x = 10,143.08

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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.