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Finding the Fourth Proportional to 2,546.46, 3,820.96 and 987.54

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Solution

The fourth proportional to 2,546.46, 3,820.96 and 987.54 is: 1,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.46 : 3,820.96 = 987.54 : x
  2. Step 2: Convert to fraction form
    2,546.46/3,820.96 = 987.54/x
  3. Step 3: Cross multiply
    2,546.46x = 3,820.96 × 987.54
  4. Step 4: Simplify right side
    2,546.46x = 3,773,337.74
  5. Step 5: Solve for x
    x = 3,773,337.74/2,546.46
  6. Step 6: Final answer
    x = 1,481.80

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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.