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Finding the Fourth Proportional to 31,137.78, 46,713.60 and 8,949.42

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Solution

The fourth proportional to 31,137.78, 46,713.60 and 8,949.42 is: 13,426.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137.78 : 46,713.60 = 8,949.42 : x
  2. Step 2: Convert to fraction form
    31,137.78/46,713.60 = 8,949.42/x
  3. Step 3: Cross multiply
    31,137.78x = 46,713.60 × 8,949.42
  4. Step 4: Simplify right side
    31,137.78x = 418,059,626.11
  5. Step 5: Solve for x
    x = 418,059,626.11/31,137.78
  6. Step 6: Final answer
    x = 13,426.12

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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.