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Finding the Fourth Proportional to 3,187, 4,396.16 and 2,006.02

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Solution

The fourth proportional to 3,187, 4,396.16 and 2,006.02 is: 2,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187 : 4,396.16 = 2,006.02 : x
  2. Step 2: Convert to fraction form
    3,187/4,396.16 = 2,006.02/x
  3. Step 3: Cross multiply
    3,187x = 4,396.16 × 2,006.02
  4. Step 4: Simplify right side
    3,187x = 8,818,774.85
  5. Step 5: Solve for x
    x = 8,818,774.85/3,187
  6. Step 6: Final answer
    x = 2,767.11

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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.