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Finding the Fourth Proportional to 43,695, 65,542.50 and 10,863

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Solution

The fourth proportional to 43,695, 65,542.50 and 10,863 is: 16,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,695 : 65,542.50 = 10,863 : x
  2. Step 2: Convert to fraction form
    43,695/65,542.50 = 10,863/x
  3. Step 3: Cross multiply
    43,695x = 65,542.50 × 10,863
  4. Step 4: Simplify right side
    43,695x = 711,988,177.50
  5. Step 5: Solve for x
    x = 711,988,177.50/43,695
  6. Step 6: Final answer
    x = 16,294.50

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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.