Home / 2,546.10-3,817.80-902.41

Finding the Fourth Proportional to 2,546.10, 3,817.80 and 902.41

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Solution

The fourth proportional to 2,546.10, 3,817.80 and 902.41 is: 1,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.10 : 3,817.80 = 902.41 : x
  2. Step 2: Convert to fraction form
    2,546.10/3,817.80 = 902.41/x
  3. Step 3: Cross multiply
    2,546.10x = 3,817.80 × 902.41
  4. Step 4: Simplify right side
    2,546.10x = 3,445,211.35
  5. Step 5: Solve for x
    x = 3,445,211.35/2,546.10
  6. Step 6: Final answer
    x = 1,353.13

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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.