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Finding the Fourth Proportional to 43,695, 65,542.68 and 15,993

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Solution

The fourth proportional to 43,695, 65,542.68 and 15,993 is: 23,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,695 : 65,542.68 = 15,993 : x
  2. Step 2: Convert to fraction form
    43,695/65,542.68 = 15,993/x
  3. Step 3: Cross multiply
    43,695x = 65,542.68 × 15,993
  4. Step 4: Simplify right side
    43,695x = 1,048,224,081.24
  5. Step 5: Solve for x
    x = 1,048,224,081.24/43,695
  6. Step 6: Final answer
    x = 23,989.57

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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.