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Finding the Fourth Proportional to 4,512, 6,227.28 and 2,648.64

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Solution

The fourth proportional to 4,512, 6,227.28 and 2,648.64 is: 3,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512 : 6,227.28 = 2,648.64 : x
  2. Step 2: Convert to fraction form
    4,512/6,227.28 = 2,648.64/x
  3. Step 3: Cross multiply
    4,512x = 6,227.28 × 2,648.64
  4. Step 4: Simplify right side
    4,512x = 16,493,822.90
  5. Step 5: Solve for x
    x = 16,493,822.90/4,512
  6. Step 6: Final answer
    x = 3,655.55

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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.