Home / 2,281.16-3,419.90-819.40

Finding the Fourth Proportional to 2,281.16, 3,419.90 and 819.40

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Solution

The fourth proportional to 2,281.16, 3,419.90 and 819.40 is: 1,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.16 : 3,419.90 = 819.40 : x
  2. Step 2: Convert to fraction form
    2,281.16/3,419.90 = 819.40/x
  3. Step 3: Cross multiply
    2,281.16x = 3,419.90 × 819.40
  4. Step 4: Simplify right side
    2,281.16x = 2,802,266.06
  5. Step 5: Solve for x
    x = 2,802,266.06/2,281.16
  6. Step 6: Final answer
    x = 1,228.44

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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.