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Finding the Fourth Proportional to 2,163.78, 2,983.50 and 2,047.05

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Solution

The fourth proportional to 2,163.78, 2,983.50 and 2,047.05 is: 2,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.78 : 2,983.50 = 2,047.05 : x
  2. Step 2: Convert to fraction form
    2,163.78/2,983.50 = 2,047.05/x
  3. Step 3: Cross multiply
    2,163.78x = 2,983.50 × 2,047.05
  4. Step 4: Simplify right side
    2,163.78x = 6,107,373.68
  5. Step 5: Solve for x
    x = 6,107,373.68/2,163.78
  6. Step 6: Final answer
    x = 2,822.55

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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.