Home / 1,367.30-2,053.04-821.90

Finding the Fourth Proportional to 1,367.30, 2,053.04 and 821.90

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Solution

The fourth proportional to 1,367.30, 2,053.04 and 821.90 is: 1,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.30 : 2,053.04 = 821.90 : x
  2. Step 2: Convert to fraction form
    1,367.30/2,053.04 = 821.90/x
  3. Step 3: Cross multiply
    1,367.30x = 2,053.04 × 821.90
  4. Step 4: Simplify right side
    1,367.30x = 1,687,379.20
  5. Step 5: Solve for x
    x = 1,687,379.20/1,367.30
  6. Step 6: Final answer
    x = 1,234.10

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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.