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Finding the Fourth Proportional to 2,889.97, 3,988.16 and 1,563.67

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Solution

The fourth proportional to 2,889.97, 3,988.16 and 1,563.67 is: 2,157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.97 : 3,988.16 = 1,563.67 : x
  2. Step 2: Convert to fraction form
    2,889.97/3,988.16 = 1,563.67/x
  3. Step 3: Cross multiply
    2,889.97x = 3,988.16 × 1,563.67
  4. Step 4: Simplify right side
    2,889.97x = 6,236,166.15
  5. Step 5: Solve for x
    x = 6,236,166.15/2,889.97
  6. Step 6: Final answer
    x = 2,157.87

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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.