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Finding the Fourth Proportional to 16,238.80, 24,358.20 and 7,490.80

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Solution

The fourth proportional to 16,238.80, 24,358.20 and 7,490.80 is: 11,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.80 : 24,358.20 = 7,490.80 : x
  2. Step 2: Convert to fraction form
    16,238.80/24,358.20 = 7,490.80/x
  3. Step 3: Cross multiply
    16,238.80x = 24,358.20 × 7,490.80
  4. Step 4: Simplify right side
    16,238.80x = 182,462,404.56
  5. Step 5: Solve for x
    x = 182,462,404.56/16,238.80
  6. Step 6: Final answer
    x = 11,236.20

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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.