Home / 3,174.40-4,761.60-983.80

Finding the Fourth Proportional to 3,174.40, 4,761.60 and 983.80

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Solution

The fourth proportional to 3,174.40, 4,761.60 and 983.80 is: 1,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.40 : 4,761.60 = 983.80 : x
  2. Step 2: Convert to fraction form
    3,174.40/4,761.60 = 983.80/x
  3. Step 3: Cross multiply
    3,174.40x = 4,761.60 × 983.80
  4. Step 4: Simplify right side
    3,174.40x = 4,684,462.08
  5. Step 5: Solve for x
    x = 4,684,462.08/3,174.40
  6. Step 6: Final answer
    x = 1,475.70

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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.