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Finding the Fourth Proportional to 16,311.24, 22,503.18 and 11,538.20

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Solution

The fourth proportional to 16,311.24, 22,503.18 and 11,538.20 is: 15,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.24 : 22,503.18 = 11,538.20 : x
  2. Step 2: Convert to fraction form
    16,311.24/22,503.18 = 11,538.20/x
  3. Step 3: Cross multiply
    16,311.24x = 22,503.18 × 11,538.20
  4. Step 4: Simplify right side
    16,311.24x = 259,646,191.48
  5. Step 5: Solve for x
    x = 259,646,191.48/16,311.24
  6. Step 6: Final answer
    x = 15,918.24

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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.