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Finding the Fourth Proportional to 22,142.92, 33,218.96 and 10,449.76

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Solution

The fourth proportional to 22,142.92, 33,218.96 and 10,449.76 is: 15,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.92 : 33,218.96 = 10,449.76 : x
  2. Step 2: Convert to fraction form
    22,142.92/33,218.96 = 10,449.76/x
  3. Step 3: Cross multiply
    22,142.92x = 33,218.96 × 10,449.76
  4. Step 4: Simplify right side
    22,142.92x = 347,130,159.45
  5. Step 5: Solve for x
    x = 347,130,159.45/22,142.92
  6. Step 6: Final answer
    x = 15,676.80

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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.