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Finding the Fourth Proportional to 31,701, 43,758.90 and 18,453

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Solution

The fourth proportional to 31,701, 43,758.90 and 18,453 is: 25,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,701 : 43,758.90 = 18,453 : x
  2. Step 2: Convert to fraction form
    31,701/43,758.90 = 18,453/x
  3. Step 3: Cross multiply
    31,701x = 43,758.90 × 18,453
  4. Step 4: Simplify right side
    31,701x = 807,482,981.70
  5. Step 5: Solve for x
    x = 807,482,981.70/31,701
  6. Step 6: Final answer
    x = 25,471.85

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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.