Home / 2,161-2,982.72-1,230.04

Finding the Fourth Proportional to 2,161, 2,982.72 and 1,230.04

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Solution

The fourth proportional to 2,161, 2,982.72 and 1,230.04 is: 1,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161 : 2,982.72 = 1,230.04 : x
  2. Step 2: Convert to fraction form
    2,161/2,982.72 = 1,230.04/x
  3. Step 3: Cross multiply
    2,161x = 2,982.72 × 1,230.04
  4. Step 4: Simplify right side
    2,161x = 3,668,864.91
  5. Step 5: Solve for x
    x = 3,668,864.91/2,161
  6. Step 6: Final answer
    x = 1,697.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.