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Finding the Fourth Proportional to 2,648.82, 3,968.46 and 2,492.64

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Solution

The fourth proportional to 2,648.82, 3,968.46 and 2,492.64 is: 3,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.82 : 3,968.46 = 2,492.64 : x
  2. Step 2: Convert to fraction form
    2,648.82/3,968.46 = 2,492.64/x
  3. Step 3: Cross multiply
    2,648.82x = 3,968.46 × 2,492.64
  4. Step 4: Simplify right side
    2,648.82x = 9,891,942.13
  5. Step 5: Solve for x
    x = 9,891,942.13/2,648.82
  6. Step 6: Final answer
    x = 3,734.47

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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.