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Finding the Fourth Proportional to 3,274.88, 4,515 and 2,713.28

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Solution

The fourth proportional to 3,274.88, 4,515 and 2,713.28 is: 3,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.88 : 4,515 = 2,713.28 : x
  2. Step 2: Convert to fraction form
    3,274.88/4,515 = 2,713.28/x
  3. Step 3: Cross multiply
    3,274.88x = 4,515 × 2,713.28
  4. Step 4: Simplify right side
    3,274.88x = 12,250,459.20
  5. Step 5: Solve for x
    x = 12,250,459.20/3,274.88
  6. Step 6: Final answer
    x = 3,740.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.