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Finding the Fourth Proportional to 10,617.72, 15,928.02 and 3,691.32

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Solution

The fourth proportional to 10,617.72, 15,928.02 and 3,691.32 is: 5,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.72 : 15,928.02 = 3,691.32 : x
  2. Step 2: Convert to fraction form
    10,617.72/15,928.02 = 3,691.32/x
  3. Step 3: Cross multiply
    10,617.72x = 15,928.02 × 3,691.32
  4. Step 4: Simplify right side
    10,617.72x = 58,795,418.79
  5. Step 5: Solve for x
    x = 58,795,418.79/10,617.72
  6. Step 6: Final answer
    x = 5,537.48

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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.