Home / 2,135.13-3,204.23-902.88

Finding the Fourth Proportional to 2,135.13, 3,204.23 and 902.88

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Solution

The fourth proportional to 2,135.13, 3,204.23 and 902.88 is: 1,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.13 : 3,204.23 = 902.88 : x
  2. Step 2: Convert to fraction form
    2,135.13/3,204.23 = 902.88/x
  3. Step 3: Cross multiply
    2,135.13x = 3,204.23 × 902.88
  4. Step 4: Simplify right side
    2,135.13x = 2,893,030.67
  5. Step 5: Solve for x
    x = 2,893,030.67/2,135.13
  6. Step 6: Final answer
    x = 1,354.97

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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.