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Finding the Fourth Proportional to 3,143.57, 4,711.34 and 1,754.89

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Solution

The fourth proportional to 3,143.57, 4,711.34 and 1,754.89 is: 2,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.57 : 4,711.34 = 1,754.89 : x
  2. Step 2: Convert to fraction form
    3,143.57/4,711.34 = 1,754.89/x
  3. Step 3: Cross multiply
    3,143.57x = 4,711.34 × 1,754.89
  4. Step 4: Simplify right side
    3,143.57x = 8,267,876.06
  5. Step 5: Solve for x
    x = 8,267,876.06/3,143.57
  6. Step 6: Final answer
    x = 2,630.10

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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.