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Finding the Fourth Proportional to 9,129.60, 13,665.60 and 6,537.60

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Solution

The fourth proportional to 9,129.60, 13,665.60 and 6,537.60 is: 9,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.60 : 13,665.60 = 6,537.60 : x
  2. Step 2: Convert to fraction form
    9,129.60/13,665.60 = 6,537.60/x
  3. Step 3: Cross multiply
    9,129.60x = 13,665.60 × 6,537.60
  4. Step 4: Simplify right side
    9,129.60x = 89,340,226.56
  5. Step 5: Solve for x
    x = 89,340,226.56/9,129.60
  6. Step 6: Final answer
    x = 9,785.78

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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.