Home / 2,140.80-3,212.76-1,411.92

Finding the Fourth Proportional to 2,140.80, 3,212.76 and 1,411.92

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Solution

The fourth proportional to 2,140.80, 3,212.76 and 1,411.92 is: 2,118.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.80 : 3,212.76 = 1,411.92 : x
  2. Step 2: Convert to fraction form
    2,140.80/3,212.76 = 1,411.92/x
  3. Step 3: Cross multiply
    2,140.80x = 3,212.76 × 1,411.92
  4. Step 4: Simplify right side
    2,140.80x = 4,536,160.10
  5. Step 5: Solve for x
    x = 4,536,160.10/2,140.80
  6. Step 6: Final answer
    x = 2,118.91

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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.