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Finding the Fourth Proportional to 22,471.52, 33,720.15 and 9,142.05

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Solution

The fourth proportional to 22,471.52, 33,720.15 and 9,142.05 is: 13,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.52 : 33,720.15 = 9,142.05 : x
  2. Step 2: Convert to fraction form
    22,471.52/33,720.15 = 9,142.05/x
  3. Step 3: Cross multiply
    22,471.52x = 33,720.15 × 9,142.05
  4. Step 4: Simplify right side
    22,471.52x = 308,271,340.97
  5. Step 5: Solve for x
    x = 308,271,340.97/22,471.52
  6. Step 6: Final answer
    x = 13,718.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.