Home / 1,434.12-2,149.92-946.14

Finding the Fourth Proportional to 1,434.12, 2,149.92 and 946.14

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Solution

The fourth proportional to 1,434.12, 2,149.92 and 946.14 is: 1,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.12 : 2,149.92 = 946.14 : x
  2. Step 2: Convert to fraction form
    1,434.12/2,149.92 = 946.14/x
  3. Step 3: Cross multiply
    1,434.12x = 2,149.92 × 946.14
  4. Step 4: Simplify right side
    1,434.12x = 2,034,125.31
  5. Step 5: Solve for x
    x = 2,034,125.31/1,434.12
  6. Step 6: Final answer
    x = 1,418.38

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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.