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Finding the Fourth Proportional to 8,729.60, 13,104.80 and 5,034.40

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Solution

The fourth proportional to 8,729.60, 13,104.80 and 5,034.40 is: 7,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.60 : 13,104.80 = 5,034.40 : x
  2. Step 2: Convert to fraction form
    8,729.60/13,104.80 = 5,034.40/x
  3. Step 3: Cross multiply
    8,729.60x = 13,104.80 × 5,034.40
  4. Step 4: Simplify right side
    8,729.60x = 65,974,805.12
  5. Step 5: Solve for x
    x = 65,974,805.12/8,729.60
  6. Step 6: Final answer
    x = 7,557.60

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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.