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Finding the Fourth Proportional to 5,449.76, 8,174.76 and 2,164.40

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Solution

The fourth proportional to 5,449.76, 8,174.76 and 2,164.40 is: 3,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.76 : 8,174.76 = 2,164.40 : x
  2. Step 2: Convert to fraction form
    5,449.76/8,174.76 = 2,164.40/x
  3. Step 3: Cross multiply
    5,449.76x = 8,174.76 × 2,164.40
  4. Step 4: Simplify right side
    5,449.76x = 17,693,450.54
  5. Step 5: Solve for x
    x = 17,693,450.54/5,449.76
  6. Step 6: Final answer
    x = 3,246.65

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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.