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Finding the Fourth Proportional to 13,742.16, 20,616.72 and 7,500.48

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Solution

The fourth proportional to 13,742.16, 20,616.72 and 7,500.48 is: 11,252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.16 : 20,616.72 = 7,500.48 : x
  2. Step 2: Convert to fraction form
    13,742.16/20,616.72 = 7,500.48/x
  3. Step 3: Cross multiply
    13,742.16x = 20,616.72 × 7,500.48
  4. Step 4: Simplify right side
    13,742.16x = 154,635,296.03
  5. Step 5: Solve for x
    x = 154,635,296.03/13,742.16
  6. Step 6: Final answer
    x = 11,252.62

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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.