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Finding the Fourth Proportional to 41,984.96, 62,978.20 and 12,403.36

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Solution

The fourth proportional to 41,984.96, 62,978.20 and 12,403.36 is: 18,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,984.96 : 62,978.20 = 12,403.36 : x
  2. Step 2: Convert to fraction form
    41,984.96/62,978.20 = 12,403.36/x
  3. Step 3: Cross multiply
    41,984.96x = 62,978.20 × 12,403.36
  4. Step 4: Simplify right side
    41,984.96x = 781,141,286.75
  5. Step 5: Solve for x
    x = 781,141,286.75/41,984.96
  6. Step 6: Final answer
    x = 18,605.26

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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.