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Finding the Fourth Proportional to 3,143.15, 4,713.00 and 951.60

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Solution

The fourth proportional to 3,143.15, 4,713.00 and 951.60 is: 1,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.15 : 4,713.00 = 951.60 : x
  2. Step 2: Convert to fraction form
    3,143.15/4,713.00 = 951.60/x
  3. Step 3: Cross multiply
    3,143.15x = 4,713.00 × 951.60
  4. Step 4: Simplify right side
    3,143.15x = 4,484,883.75
  5. Step 5: Solve for x
    x = 4,484,883.75/3,143.15
  6. Step 6: Final answer
    x = 1,426.87

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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.