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Finding the Fourth Proportional to 11,593.80, 17,366.40 and 7,657.20

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Solution

The fourth proportional to 11,593.80, 17,366.40 and 7,657.20 is: 11,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.80 : 17,366.40 = 7,657.20 : x
  2. Step 2: Convert to fraction form
    11,593.80/17,366.40 = 7,657.20/x
  3. Step 3: Cross multiply
    11,593.80x = 17,366.40 × 7,657.20
  4. Step 4: Simplify right side
    11,593.80x = 132,977,998.08
  5. Step 5: Solve for x
    x = 132,977,998.08/11,593.80
  6. Step 6: Final answer
    x = 11,469.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.