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Finding the Fourth Proportional to 2,970.70, 4,454.70 and 1,327.75

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Solution

The fourth proportional to 2,970.70, 4,454.70 and 1,327.75 is: 1,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.70 : 4,454.70 = 1,327.75 : x
  2. Step 2: Convert to fraction form
    2,970.70/4,454.70 = 1,327.75/x
  3. Step 3: Cross multiply
    2,970.70x = 4,454.70 × 1,327.75
  4. Step 4: Simplify right side
    2,970.70x = 5,914,727.93
  5. Step 5: Solve for x
    x = 5,914,727.93/2,970.70
  6. Step 6: Final answer
    x = 1,991.02

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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.