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Finding the Fourth Proportional to 13,508.60, 18,642.22 and 7,540.24

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Solution

The fourth proportional to 13,508.60, 18,642.22 and 7,540.24 is: 10,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.60 : 18,642.22 = 7,540.24 : x
  2. Step 2: Convert to fraction form
    13,508.60/18,642.22 = 7,540.24/x
  3. Step 3: Cross multiply
    13,508.60x = 18,642.22 × 7,540.24
  4. Step 4: Simplify right side
    13,508.60x = 140,566,812.93
  5. Step 5: Solve for x
    x = 140,566,812.93/13,508.60
  6. Step 6: Final answer
    x = 10,405.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.