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Finding the Fourth Proportional to 43,617.48, 65,419.74 and 15,909

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Solution

The fourth proportional to 43,617.48, 65,419.74 and 15,909 is: 23,861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,617.48 : 65,419.74 = 15,909 : x
  2. Step 2: Convert to fraction form
    43,617.48/65,419.74 = 15,909/x
  3. Step 3: Cross multiply
    43,617.48x = 65,419.74 × 15,909
  4. Step 4: Simplify right side
    43,617.48x = 1,040,762,643.66
  5. Step 5: Solve for x
    x = 1,040,762,643.66/43,617.48
  6. Step 6: Final answer
    x = 23,861.14

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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.