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Finding the Fourth Proportional to 2,983, 4,474.52 and 931

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Solution

The fourth proportional to 2,983, 4,474.52 and 931 is: 1,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983 : 4,474.52 = 931 : x
  2. Step 2: Convert to fraction form
    2,983/4,474.52 = 931/x
  3. Step 3: Cross multiply
    2,983x = 4,474.52 × 931
  4. Step 4: Simplify right side
    2,983x = 4,165,778.12
  5. Step 5: Solve for x
    x = 4,165,778.12/2,983
  6. Step 6: Final answer
    x = 1,396.51

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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.