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Finding the Fourth Proportional to 40,871.48, 61,293.90 and 13,163

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Solution

The fourth proportional to 40,871.48, 61,293.90 and 13,163 is: 19,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,871.48 : 61,293.90 = 13,163 : x
  2. Step 2: Convert to fraction form
    40,871.48/61,293.90 = 13,163/x
  3. Step 3: Cross multiply
    40,871.48x = 61,293.90 × 13,163
  4. Step 4: Simplify right side
    40,871.48x = 806,811,605.70
  5. Step 5: Solve for x
    x = 806,811,605.70/40,871.48
  6. Step 6: Final answer
    x = 19,740.21

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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.