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Finding the Fourth Proportional to 22,505.84, 31,066.80 and 20,143.88

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Solution

The fourth proportional to 22,505.84, 31,066.80 and 20,143.88 is: 27,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.84 : 31,066.80 = 20,143.88 : x
  2. Step 2: Convert to fraction form
    22,505.84/31,066.80 = 20,143.88/x
  3. Step 3: Cross multiply
    22,505.84x = 31,066.80 × 20,143.88
  4. Step 4: Simplify right side
    22,505.84x = 625,805,891.18
  5. Step 5: Solve for x
    x = 625,805,891.18/22,505.84
  6. Step 6: Final answer
    x = 27,806.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.