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Finding the Fourth Proportional to 3,880.22, 5,817.08 and 1,538.76

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Solution

The fourth proportional to 3,880.22, 5,817.08 and 1,538.76 is: 2,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.22 : 5,817.08 = 1,538.76 : x
  2. Step 2: Convert to fraction form
    3,880.22/5,817.08 = 1,538.76/x
  3. Step 3: Cross multiply
    3,880.22x = 5,817.08 × 1,538.76
  4. Step 4: Simplify right side
    3,880.22x = 8,951,084.65
  5. Step 5: Solve for x
    x = 8,951,084.65/3,880.22
  6. Step 6: Final answer
    x = 2,306.85

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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.