Home / 2,827.80-4,242.06-1,096.20

Finding the Fourth Proportional to 2,827.80, 4,242.06 and 1,096.20

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Solution

The fourth proportional to 2,827.80, 4,242.06 and 1,096.20 is: 1,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.80 : 4,242.06 = 1,096.20 : x
  2. Step 2: Convert to fraction form
    2,827.80/4,242.06 = 1,096.20/x
  3. Step 3: Cross multiply
    2,827.80x = 4,242.06 × 1,096.20
  4. Step 4: Simplify right side
    2,827.80x = 4,650,146.17
  5. Step 5: Solve for x
    x = 4,650,146.17/2,827.80
  6. Step 6: Final answer
    x = 1,644.44

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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.