Home / 2,114.40-3,169.17-1,138.46

Finding the Fourth Proportional to 2,114.40, 3,169.17 and 1,138.46

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Solution

The fourth proportional to 2,114.40, 3,169.17 and 1,138.46 is: 1,706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.40 : 3,169.17 = 1,138.46 : x
  2. Step 2: Convert to fraction form
    2,114.40/3,169.17 = 1,138.46/x
  3. Step 3: Cross multiply
    2,114.40x = 3,169.17 × 1,138.46
  4. Step 4: Simplify right side
    2,114.40x = 3,607,957.43
  5. Step 5: Solve for x
    x = 3,607,957.43/2,114.40
  6. Step 6: Final answer
    x = 1,706.37

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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.