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Finding the Fourth Proportional to 7,154.64, 10,734.84 and 2,540.88

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Solution

The fourth proportional to 7,154.64, 10,734.84 and 2,540.88 is: 3,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.64 : 10,734.84 = 2,540.88 : x
  2. Step 2: Convert to fraction form
    7,154.64/10,734.84 = 2,540.88/x
  3. Step 3: Cross multiply
    7,154.64x = 10,734.84 × 2,540.88
  4. Step 4: Simplify right side
    7,154.64x = 27,275,940.26
  5. Step 5: Solve for x
    x = 27,275,940.26/7,154.64
  6. Step 6: Final answer
    x = 3,812.34

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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.