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Finding the Fourth Proportional to 43,693.50, 65,540.49 and 10,861.50

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Solution

The fourth proportional to 43,693.50, 65,540.49 and 10,861.50 is: 16,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,693.50 : 65,540.49 = 10,861.50 : x
  2. Step 2: Convert to fraction form
    43,693.50/65,540.49 = 10,861.50/x
  3. Step 3: Cross multiply
    43,693.50x = 65,540.49 × 10,861.50
  4. Step 4: Simplify right side
    43,693.50x = 711,868,032.14
  5. Step 5: Solve for x
    x = 711,868,032.14/43,693.50
  6. Step 6: Final answer
    x = 16,292.31

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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.