Home / 2,214.40-3,323.20-916.80

Finding the Fourth Proportional to 2,214.40, 3,323.20 and 916.80

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Solution

The fourth proportional to 2,214.40, 3,323.20 and 916.80 is: 1,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.40 : 3,323.20 = 916.80 : x
  2. Step 2: Convert to fraction form
    2,214.40/3,323.20 = 916.80/x
  3. Step 3: Cross multiply
    2,214.40x = 3,323.20 × 916.80
  4. Step 4: Simplify right side
    2,214.40x = 3,046,709.76
  5. Step 5: Solve for x
    x = 3,046,709.76/2,214.40
  6. Step 6: Final answer
    x = 1,375.86

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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.