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Finding the Fourth Proportional to 3,968, 5,476.02 and 2,199.49

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Solution

The fourth proportional to 3,968, 5,476.02 and 2,199.49 is: 3,035.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968 : 5,476.02 = 2,199.49 : x
  2. Step 2: Convert to fraction form
    3,968/5,476.02 = 2,199.49/x
  3. Step 3: Cross multiply
    3,968x = 5,476.02 × 2,199.49
  4. Step 4: Simplify right side
    3,968x = 12,044,451.23
  5. Step 5: Solve for x
    x = 12,044,451.23/3,968
  6. Step 6: Final answer
    x = 3,035.40

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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.