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Finding the Fourth Proportional to 2,818.89, 4,228.23 and 871.09

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Solution

The fourth proportional to 2,818.89, 4,228.23 and 871.09 is: 1,306.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.89 : 4,228.23 = 871.09 : x
  2. Step 2: Convert to fraction form
    2,818.89/4,228.23 = 871.09/x
  3. Step 3: Cross multiply
    2,818.89x = 4,228.23 × 871.09
  4. Step 4: Simplify right side
    2,818.89x = 3,683,168.87
  5. Step 5: Solve for x
    x = 3,683,168.87/2,818.89
  6. Step 6: Final answer
    x = 1,306.60

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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.