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Finding the Fourth Proportional to 41,305.71, 61,965.86 and 13,230.71

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Solution

The fourth proportional to 41,305.71, 61,965.86 and 13,230.71 is: 19,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,305.71 : 61,965.86 = 13,230.71 : x
  2. Step 2: Convert to fraction form
    41,305.71/61,965.86 = 13,230.71/x
  3. Step 3: Cross multiply
    41,305.71x = 61,965.86 × 13,230.71
  4. Step 4: Simplify right side
    41,305.71x = 819,851,947.58
  5. Step 5: Solve for x
    x = 819,851,947.58/41,305.71
  6. Step 6: Final answer
    x = 19,848.39

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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.