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Finding the Fourth Proportional to 40,909.66, 61,365.25 and 12,829.09

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Solution

The fourth proportional to 40,909.66, 61,365.25 and 12,829.09 is: 19,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,909.66 : 61,365.25 = 12,829.09 : x
  2. Step 2: Convert to fraction form
    40,909.66/61,365.25 = 12,829.09/x
  3. Step 3: Cross multiply
    40,909.66x = 61,365.25 × 12,829.09
  4. Step 4: Simplify right side
    40,909.66x = 787,260,315.12
  5. Step 5: Solve for x
    x = 787,260,315.12/40,909.66
  6. Step 6: Final answer
    x = 19,243.87

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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.