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Finding the Fourth Proportional to 3,174.13, 4,760.88 and 982.90

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Solution

The fourth proportional to 3,174.13, 4,760.88 and 982.90 is: 1,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.13 : 4,760.88 = 982.90 : x
  2. Step 2: Convert to fraction form
    3,174.13/4,760.88 = 982.90/x
  3. Step 3: Cross multiply
    3,174.13x = 4,760.88 × 982.90
  4. Step 4: Simplify right side
    3,174.13x = 4,679,468.95
  5. Step 5: Solve for x
    x = 4,679,468.95/3,174.13
  6. Step 6: Final answer
    x = 1,474.25

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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.