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Finding the Fourth Proportional to 3,870.97, 5,806.53 and 949.30

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Solution

The fourth proportional to 3,870.97, 5,806.53 and 949.30 is: 1,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.97 : 5,806.53 = 949.30 : x
  2. Step 2: Convert to fraction form
    3,870.97/5,806.53 = 949.30/x
  3. Step 3: Cross multiply
    3,870.97x = 5,806.53 × 949.30
  4. Step 4: Simplify right side
    3,870.97x = 5,512,138.93
  5. Step 5: Solve for x
    x = 5,512,138.93/3,870.97
  6. Step 6: Final answer
    x = 1,423.97

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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.