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Finding the Fourth Proportional to 3,123, 4,682.97 and 931.14

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Solution

The fourth proportional to 3,123, 4,682.97 and 931.14 is: 1,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123 : 4,682.97 = 931.14 : x
  2. Step 2: Convert to fraction form
    3,123/4,682.97 = 931.14/x
  3. Step 3: Cross multiply
    3,123x = 4,682.97 × 931.14
  4. Step 4: Simplify right side
    3,123x = 4,360,500.69
  5. Step 5: Solve for x
    x = 4,360,500.69/3,123
  6. Step 6: Final answer
    x = 1,396.25

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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.