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Finding the Fourth Proportional to 2,819.18, 4,228.77 and 871.38

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Solution

The fourth proportional to 2,819.18, 4,228.77 and 871.38 is: 1,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.18 : 4,228.77 = 871.38 : x
  2. Step 2: Convert to fraction form
    2,819.18/4,228.77 = 871.38/x
  3. Step 3: Cross multiply
    2,819.18x = 4,228.77 × 871.38
  4. Step 4: Simplify right side
    2,819.18x = 3,684,877.09
  5. Step 5: Solve for x
    x = 3,684,877.09/2,819.18
  6. Step 6: Final answer
    x = 1,307.07

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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.