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Finding the Fourth Proportional to 3,449.61, 5,174.42 and 3,177.45

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Solution

The fourth proportional to 3,449.61, 5,174.42 and 3,177.45 is: 4,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.61 : 5,174.42 = 3,177.45 : x
  2. Step 2: Convert to fraction form
    3,449.61/5,174.42 = 3,177.45/x
  3. Step 3: Cross multiply
    3,449.61x = 5,174.42 × 3,177.45
  4. Step 4: Simplify right side
    3,449.61x = 16,441,444.94
  5. Step 5: Solve for x
    x = 16,441,444.94/3,449.61
  6. Step 6: Final answer
    x = 4,766.18

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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.