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Finding the Fourth Proportional to 3,984, 5,496.03 and 2,805.72

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Solution

The fourth proportional to 3,984, 5,496.03 and 2,805.72 is: 3,870.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984 : 5,496.03 = 2,805.72 : x
  2. Step 2: Convert to fraction form
    3,984/5,496.03 = 2,805.72/x
  3. Step 3: Cross multiply
    3,984x = 5,496.03 × 2,805.72
  4. Step 4: Simplify right side
    3,984x = 15,420,321.29
  5. Step 5: Solve for x
    x = 15,420,321.29/3,984
  6. Step 6: Final answer
    x = 3,870.56

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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.