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Finding the Fourth Proportional to 2,335.20, 3,502.80 and 2,200.80

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Solution

The fourth proportional to 2,335.20, 3,502.80 and 2,200.80 is: 3,301.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.20 : 3,502.80 = 2,200.80 : x
  2. Step 2: Convert to fraction form
    2,335.20/3,502.80 = 2,200.80/x
  3. Step 3: Cross multiply
    2,335.20x = 3,502.80 × 2,200.80
  4. Step 4: Simplify right side
    2,335.20x = 7,708,962.24
  5. Step 5: Solve for x
    x = 7,708,962.24/2,335.20
  6. Step 6: Final answer
    x = 3,301.20

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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.