Home / 1,416.90-2,122.21-867.43

Finding the Fourth Proportional to 1,416.90, 2,122.21 and 867.43

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Solution

The fourth proportional to 1,416.90, 2,122.21 and 867.43 is: 1,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.90 : 2,122.21 = 867.43 : x
  2. Step 2: Convert to fraction form
    1,416.90/2,122.21 = 867.43/x
  3. Step 3: Cross multiply
    1,416.90x = 2,122.21 × 867.43
  4. Step 4: Simplify right side
    1,416.90x = 1,840,868.62
  5. Step 5: Solve for x
    x = 1,840,868.62/1,416.90
  6. Step 6: Final answer
    x = 1,299.22

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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.