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Finding the Fourth Proportional to 31,605.39, 43,815.13 and 29,919.98

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Solution

The fourth proportional to 31,605.39, 43,815.13 and 29,919.98 is: 41,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,605.39 : 43,815.13 = 29,919.98 : x
  2. Step 2: Convert to fraction form
    31,605.39/43,815.13 = 29,919.98/x
  3. Step 3: Cross multiply
    31,605.39x = 43,815.13 × 29,919.98
  4. Step 4: Simplify right side
    31,605.39x = 1,310,947,848.04
  5. Step 5: Solve for x
    x = 1,310,947,848.04/31,605.39
  6. Step 6: Final answer
    x = 41,478.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.