Home / 1,634.14-2,254.85-970.97

Finding the Fourth Proportional to 1,634.14, 2,254.85 and 970.97

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Solution

The fourth proportional to 1,634.14, 2,254.85 and 970.97 is: 1,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.14 : 2,254.85 = 970.97 : x
  2. Step 2: Convert to fraction form
    1,634.14/2,254.85 = 970.97/x
  3. Step 3: Cross multiply
    1,634.14x = 2,254.85 × 970.97
  4. Step 4: Simplify right side
    1,634.14x = 2,189,394.13
  5. Step 5: Solve for x
    x = 2,189,394.13/1,634.14
  6. Step 6: Final answer
    x = 1,339.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.