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Finding the Fourth Proportional to 2,819.50, 4,229.45 and 871.45

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Solution

The fourth proportional to 2,819.50, 4,229.45 and 871.45 is: 1,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.50 : 4,229.45 = 871.45 : x
  2. Step 2: Convert to fraction form
    2,819.50/4,229.45 = 871.45/x
  3. Step 3: Cross multiply
    2,819.50x = 4,229.45 × 871.45
  4. Step 4: Simplify right side
    2,819.50x = 3,685,754.20
  5. Step 5: Solve for x
    x = 3,685,754.20/2,819.50
  6. Step 6: Final answer
    x = 1,307.24

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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.