Home / 2,141.04-3,211.28-680.20

Finding the Fourth Proportional to 2,141.04, 3,211.28 and 680.20

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Solution

The fourth proportional to 2,141.04, 3,211.28 and 680.20 is: 1,020.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.04 : 3,211.28 = 680.20 : x
  2. Step 2: Convert to fraction form
    2,141.04/3,211.28 = 680.20/x
  3. Step 3: Cross multiply
    2,141.04x = 3,211.28 × 680.20
  4. Step 4: Simplify right side
    2,141.04x = 2,184,312.66
  5. Step 5: Solve for x
    x = 2,184,312.66/2,141.04
  6. Step 6: Final answer
    x = 1,020.21

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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.