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Finding the Fourth Proportional to 3,442.91, 5,162.79 and 1,102.46

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Solution

The fourth proportional to 3,442.91, 5,162.79 and 1,102.46 is: 1,653.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.91 : 5,162.79 = 1,102.46 : x
  2. Step 2: Convert to fraction form
    3,442.91/5,162.79 = 1,102.46/x
  3. Step 3: Cross multiply
    3,442.91x = 5,162.79 × 1,102.46
  4. Step 4: Simplify right side
    3,442.91x = 5,691,769.46
  5. Step 5: Solve for x
    x = 5,691,769.46/3,442.91
  6. Step 6: Final answer
    x = 1,653.19

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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.