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Finding the Fourth Proportional to 3,142.52, 4,712.91 and 951.32

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Solution

The fourth proportional to 3,142.52, 4,712.91 and 951.32 is: 1,426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.52 : 4,712.91 = 951.32 : x
  2. Step 2: Convert to fraction form
    3,142.52/4,712.91 = 951.32/x
  3. Step 3: Cross multiply
    3,142.52x = 4,712.91 × 951.32
  4. Step 4: Simplify right side
    3,142.52x = 4,483,485.54
  5. Step 5: Solve for x
    x = 4,483,485.54/3,142.52
  6. Step 6: Final answer
    x = 1,426.72

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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.