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Finding the Fourth Proportional to 3,327.70, 4,990.65 and 987.70

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Solution

The fourth proportional to 3,327.70, 4,990.65 and 987.70 is: 1,481.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.70 : 4,990.65 = 987.70 : x
  2. Step 2: Convert to fraction form
    3,327.70/4,990.65 = 987.70/x
  3. Step 3: Cross multiply
    3,327.70x = 4,990.65 × 987.70
  4. Step 4: Simplify right side
    3,327.70x = 4,929,265.01
  5. Step 5: Solve for x
    x = 4,929,265.01/3,327.70
  6. Step 6: Final answer
    x = 1,481.28

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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.