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Finding the Fourth Proportional to 43,692, 65,538.24 and 10,860

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Solution

The fourth proportional to 43,692, 65,538.24 and 10,860 is: 16,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,692 : 65,538.24 = 10,860 : x
  2. Step 2: Convert to fraction form
    43,692/65,538.24 = 10,860/x
  3. Step 3: Cross multiply
    43,692x = 65,538.24 × 10,860
  4. Step 4: Simplify right side
    43,692x = 711,745,286.40
  5. Step 5: Solve for x
    x = 711,745,286.40/43,692
  6. Step 6: Final answer
    x = 16,290.06

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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.