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Finding the Fourth Proportional to 3,142.57, 4,713.86 and 951.18

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Solution

The fourth proportional to 3,142.57, 4,713.86 and 951.18 is: 1,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.57 : 4,713.86 = 951.18 : x
  2. Step 2: Convert to fraction form
    3,142.57/4,713.86 = 951.18/x
  3. Step 3: Cross multiply
    3,142.57x = 4,713.86 × 951.18
  4. Step 4: Simplify right side
    3,142.57x = 4,483,724.60
  5. Step 5: Solve for x
    x = 4,483,724.60/3,142.57
  6. Step 6: Final answer
    x = 1,426.77

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1.5x scale

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.