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Finding the Fourth Proportional to 3,968.50, 5,476.53 and 2,200.38

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Solution

The fourth proportional to 3,968.50, 5,476.53 and 2,200.38 is: 3,036.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.50 : 5,476.53 = 2,200.38 : x
  2. Step 2: Convert to fraction form
    3,968.50/5,476.53 = 2,200.38/x
  3. Step 3: Cross multiply
    3,968.50x = 5,476.53 × 2,200.38
  4. Step 4: Simplify right side
    3,968.50x = 12,050,419.70
  5. Step 5: Solve for x
    x = 12,050,419.70/3,968.50
  6. Step 6: Final answer
    x = 3,036.52

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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.