Home / 2,827.34-3,902.20-1,649.06

Finding the Fourth Proportional to 2,827.34, 3,902.20 and 1,649.06

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Solution

The fourth proportional to 2,827.34, 3,902.20 and 1,649.06 is: 2,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.34 : 3,902.20 = 1,649.06 : x
  2. Step 2: Convert to fraction form
    2,827.34/3,902.20 = 1,649.06/x
  3. Step 3: Cross multiply
    2,827.34x = 3,902.20 × 1,649.06
  4. Step 4: Simplify right side
    2,827.34x = 6,434,938.30
  5. Step 5: Solve for x
    x = 6,434,938.30/2,827.34
  6. Step 6: Final answer
    x = 2,275.97

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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.