Home / 2,546.30-3,818.10-902.90

Finding the Fourth Proportional to 2,546.30, 3,818.10 and 902.90

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Solution

The fourth proportional to 2,546.30, 3,818.10 and 902.90 is: 1,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.30 : 3,818.10 = 902.90 : x
  2. Step 2: Convert to fraction form
    2,546.30/3,818.10 = 902.90/x
  3. Step 3: Cross multiply
    2,546.30x = 3,818.10 × 902.90
  4. Step 4: Simplify right side
    2,546.30x = 3,447,362.49
  5. Step 5: Solve for x
    x = 3,447,362.49/2,546.30
  6. Step 6: Final answer
    x = 1,353.87

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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.