Home / 2,207.56-3,311.92-821.30

Finding the Fourth Proportional to 2,207.56, 3,311.92 and 821.30

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Solution

The fourth proportional to 2,207.56, 3,311.92 and 821.30 is: 1,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.56 : 3,311.92 = 821.30 : x
  2. Step 2: Convert to fraction form
    2,207.56/3,311.92 = 821.30/x
  3. Step 3: Cross multiply
    2,207.56x = 3,311.92 × 821.30
  4. Step 4: Simplify right side
    2,207.56x = 2,720,075.79
  5. Step 5: Solve for x
    x = 2,720,075.79/2,207.56
  6. Step 6: Final answer
    x = 1,232.16

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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.