Home / 2,142.80-3,214.20-1,166.86

Finding the Fourth Proportional to 2,142.80, 3,214.20 and 1,166.86

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Solution

The fourth proportional to 2,142.80, 3,214.20 and 1,166.86 is: 1,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.80 : 3,214.20 = 1,166.86 : x
  2. Step 2: Convert to fraction form
    2,142.80/3,214.20 = 1,166.86/x
  3. Step 3: Cross multiply
    2,142.80x = 3,214.20 × 1,166.86
  4. Step 4: Simplify right side
    2,142.80x = 3,750,505.34
  5. Step 5: Solve for x
    x = 3,750,505.34/2,142.80
  6. Step 6: Final answer
    x = 1,750.28

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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.