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Finding the Fourth Proportional to 7,308.80, 10,960 and 2,114.56

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Solution

The fourth proportional to 7,308.80, 10,960 and 2,114.56 is: 3,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,308.80 : 10,960 = 2,114.56 : x
  2. Step 2: Convert to fraction form
    7,308.80/10,960 = 2,114.56/x
  3. Step 3: Cross multiply
    7,308.80x = 10,960 × 2,114.56
  4. Step 4: Simplify right side
    7,308.80x = 23,175,577.60
  5. Step 5: Solve for x
    x = 23,175,577.60/7,308.80
  6. Step 6: Final answer
    x = 3,170.91

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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.