Home / 2,818.13-4,228.10-969.20

Finding the Fourth Proportional to 2,818.13, 4,228.10 and 969.20

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Solution

The fourth proportional to 2,818.13, 4,228.10 and 969.20 is: 1,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.13 : 4,228.10 = 969.20 : x
  2. Step 2: Convert to fraction form
    2,818.13/4,228.10 = 969.20/x
  3. Step 3: Cross multiply
    2,818.13x = 4,228.10 × 969.20
  4. Step 4: Simplify right side
    2,818.13x = 4,097,874.52
  5. Step 5: Solve for x
    x = 4,097,874.52/2,818.13
  6. Step 6: Final answer
    x = 1,454.11

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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.