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Finding the Fourth Proportional to 2,379.64, 3,281.54 and 1,447.56

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Solution

The fourth proportional to 2,379.64, 3,281.54 and 1,447.56 is: 1,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.64 : 3,281.54 = 1,447.56 : x
  2. Step 2: Convert to fraction form
    2,379.64/3,281.54 = 1,447.56/x
  3. Step 3: Cross multiply
    2,379.64x = 3,281.54 × 1,447.56
  4. Step 4: Simplify right side
    2,379.64x = 4,750,226.04
  5. Step 5: Solve for x
    x = 4,750,226.04/2,379.64
  6. Step 6: Final answer
    x = 1,996.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.