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Finding the Fourth Proportional to 3,452.74, 5,179.98 and 987.77

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Solution

The fourth proportional to 3,452.74, 5,179.98 and 987.77 is: 1,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.74 : 5,179.98 = 987.77 : x
  2. Step 2: Convert to fraction form
    3,452.74/5,179.98 = 987.77/x
  3. Step 3: Cross multiply
    3,452.74x = 5,179.98 × 987.77
  4. Step 4: Simplify right side
    3,452.74x = 5,116,628.84
  5. Step 5: Solve for x
    x = 5,116,628.84/3,452.74
  6. Step 6: Final answer
    x = 1,481.90

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1.5x scale

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.