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Finding the Fourth Proportional to 2,163.90, 3,248.25 and 866.28

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Solution

The fourth proportional to 2,163.90, 3,248.25 and 866.28 is: 1,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.90 : 3,248.25 = 866.28 : x
  2. Step 2: Convert to fraction form
    2,163.90/3,248.25 = 866.28/x
  3. Step 3: Cross multiply
    2,163.90x = 3,248.25 × 866.28
  4. Step 4: Simplify right side
    2,163.90x = 2,813,894.01
  5. Step 5: Solve for x
    x = 2,813,894.01/2,163.90
  6. Step 6: Final answer
    x = 1,300.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.