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Finding the Fourth Proportional to 22,142.76, 33,148.50 and 13,351.02

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Solution

The fourth proportional to 22,142.76, 33,148.50 and 13,351.02 is: 19,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.76 : 33,148.50 = 13,351.02 : x
  2. Step 2: Convert to fraction form
    22,142.76/33,148.50 = 13,351.02/x
  3. Step 3: Cross multiply
    22,142.76x = 33,148.50 × 13,351.02
  4. Step 4: Simplify right side
    22,142.76x = 442,566,286.47
  5. Step 5: Solve for x
    x = 442,566,286.47/22,142.76
  6. Step 6: Final answer
    x = 19,986.95

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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.