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Finding the Fourth Proportional to 2,881.80, 4,325.40 and 2,471.40

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Solution

The fourth proportional to 2,881.80, 4,325.40 and 2,471.40 is: 3,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.80 : 4,325.40 = 2,471.40 : x
  2. Step 2: Convert to fraction form
    2,881.80/4,325.40 = 2,471.40/x
  3. Step 3: Cross multiply
    2,881.80x = 4,325.40 × 2,471.40
  4. Step 4: Simplify right side
    2,881.80x = 10,689,793.56
  5. Step 5: Solve for x
    x = 10,689,793.56/2,881.80
  6. Step 6: Final answer
    x = 3,709.42

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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.