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Finding the Fourth Proportional to 5,314.64, 7,971.97 and 2,540.68

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Solution

The fourth proportional to 5,314.64, 7,971.97 and 2,540.68 is: 3,811.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.64 : 7,971.97 = 2,540.68 : x
  2. Step 2: Convert to fraction form
    5,314.64/7,971.97 = 2,540.68/x
  3. Step 3: Cross multiply
    5,314.64x = 7,971.97 × 2,540.68
  4. Step 4: Simplify right side
    5,314.64x = 20,254,198.46
  5. Step 5: Solve for x
    x = 20,254,198.46/5,314.64
  6. Step 6: Final answer
    x = 3,811.02

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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.