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Finding the Fourth Proportional to 3,174.58, 4,761.67 and 983.13

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Solution

The fourth proportional to 3,174.58, 4,761.67 and 983.13 is: 1,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.58 : 4,761.67 = 983.13 : x
  2. Step 2: Convert to fraction form
    3,174.58/4,761.67 = 983.13/x
  3. Step 3: Cross multiply
    3,174.58x = 4,761.67 × 983.13
  4. Step 4: Simplify right side
    3,174.58x = 4,681,340.63
  5. Step 5: Solve for x
    x = 4,681,340.63/3,174.58
  6. Step 6: Final answer
    x = 1,474.63

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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.