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Finding the Fourth Proportional to 3,196.84, 4,408.32 and 2,902

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Solution

The fourth proportional to 3,196.84, 4,408.32 and 2,902 is: 4,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.84 : 4,408.32 = 2,902 : x
  2. Step 2: Convert to fraction form
    3,196.84/4,408.32 = 2,902/x
  3. Step 3: Cross multiply
    3,196.84x = 4,408.32 × 2,902
  4. Step 4: Simplify right side
    3,196.84x = 12,792,944.64
  5. Step 5: Solve for x
    x = 12,792,944.64/3,196.84
  6. Step 6: Final answer
    x = 4,001.75

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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.