Home / 1,417.25-2,121.75-867.75

Finding the Fourth Proportional to 1,417.25, 2,121.75 and 867.75

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Solution

The fourth proportional to 1,417.25, 2,121.75 and 867.75 is: 1,299.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.25 : 2,121.75 = 867.75 : x
  2. Step 2: Convert to fraction form
    1,417.25/2,121.75 = 867.75/x
  3. Step 3: Cross multiply
    1,417.25x = 2,121.75 × 867.75
  4. Step 4: Simplify right side
    1,417.25x = 1,841,148.56
  5. Step 5: Solve for x
    x = 1,841,148.56/1,417.25
  6. Step 6: Final answer
    x = 1,299.10

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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.