Home / 2,134.18-3,202.23-902.50

Finding the Fourth Proportional to 2,134.18, 3,202.23 and 902.50

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Solution

The fourth proportional to 2,134.18, 3,202.23 and 902.50 is: 1,354.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.18 : 3,202.23 = 902.50 : x
  2. Step 2: Convert to fraction form
    2,134.18/3,202.23 = 902.50/x
  3. Step 3: Cross multiply
    2,134.18x = 3,202.23 × 902.50
  4. Step 4: Simplify right side
    2,134.18x = 2,890,012.58
  5. Step 5: Solve for x
    x = 2,890,012.58/2,134.18
  6. Step 6: Final answer
    x = 1,354.16

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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.