Home / 1,446.24-2,170.80-869.52

Finding the Fourth Proportional to 1,446.24, 2,170.80 and 869.52

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Solution

The fourth proportional to 1,446.24, 2,170.80 and 869.52 is: 1,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.24 : 2,170.80 = 869.52 : x
  2. Step 2: Convert to fraction form
    1,446.24/2,170.80 = 869.52/x
  3. Step 3: Cross multiply
    1,446.24x = 2,170.80 × 869.52
  4. Step 4: Simplify right side
    1,446.24x = 1,887,554.02
  5. Step 5: Solve for x
    x = 1,887,554.02/1,446.24
  6. Step 6: Final answer
    x = 1,305.15

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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.