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Finding the Fourth Proportional to 22,687.76, 31,286.76 and 14,301.20

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Solution

The fourth proportional to 22,687.76, 31,286.76 and 14,301.20 is: 19,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,687.76 : 31,286.76 = 14,301.20 : x
  2. Step 2: Convert to fraction form
    22,687.76/31,286.76 = 14,301.20/x
  3. Step 3: Cross multiply
    22,687.76x = 31,286.76 × 14,301.20
  4. Step 4: Simplify right side
    22,687.76x = 447,438,212.11
  5. Step 5: Solve for x
    x = 447,438,212.11/22,687.76
  6. Step 6: Final answer
    x = 19,721.57

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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.