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Finding the Fourth Proportional to 2,952.92, 4,431 and 1,105.32

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Solution

The fourth proportional to 2,952.92, 4,431 and 1,105.32 is: 1,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.92 : 4,431 = 1,105.32 : x
  2. Step 2: Convert to fraction form
    2,952.92/4,431 = 1,105.32/x
  3. Step 3: Cross multiply
    2,952.92x = 4,431 × 1,105.32
  4. Step 4: Simplify right side
    2,952.92x = 4,897,672.92
  5. Step 5: Solve for x
    x = 4,897,672.92/2,952.92
  6. Step 6: Final answer
    x = 1,658.59

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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.