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Finding the Fourth Proportional to 22,757.80, 31,408.10 and 12,687.88

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Solution

The fourth proportional to 22,757.80, 31,408.10 and 12,687.88 is: 17,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.80 : 31,408.10 = 12,687.88 : x
  2. Step 2: Convert to fraction form
    22,757.80/31,408.10 = 12,687.88/x
  3. Step 3: Cross multiply
    22,757.80x = 31,408.10 × 12,687.88
  4. Step 4: Simplify right side
    22,757.80x = 398,502,140.39
  5. Step 5: Solve for x
    x = 398,502,140.39/22,757.80
  6. Step 6: Final answer
    x = 17,510.57

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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.