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Finding the Fourth Proportional to 40,775, 61,171.28 and 12,694.46

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Solution

The fourth proportional to 40,775, 61,171.28 and 12,694.46 is: 19,044.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,775 : 61,171.28 = 12,694.46 : x
  2. Step 2: Convert to fraction form
    40,775/61,171.28 = 12,694.46/x
  3. Step 3: Cross multiply
    40,775x = 61,171.28 × 12,694.46
  4. Step 4: Simplify right side
    40,775x = 776,536,367.11
  5. Step 5: Solve for x
    x = 776,536,367.11/40,775
  6. Step 6: Final answer
    x = 19,044.42

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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.