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Finding the Fourth Proportional to 5,121.76, 7,676.88 and 2,380

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Solution

The fourth proportional to 5,121.76, 7,676.88 and 2,380 is: 3,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,121.76 : 7,676.88 = 2,380 : x
  2. Step 2: Convert to fraction form
    5,121.76/7,676.88 = 2,380/x
  3. Step 3: Cross multiply
    5,121.76x = 7,676.88 × 2,380
  4. Step 4: Simplify right side
    5,121.76x = 18,270,974.40
  5. Step 5: Solve for x
    x = 18,270,974.40/5,121.76
  6. Step 6: Final answer
    x = 3,567.32

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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.