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Finding the Fourth Proportional to 2,164.78, 3,248.48 and 866.13

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Solution

The fourth proportional to 2,164.78, 3,248.48 and 866.13 is: 1,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.78 : 3,248.48 = 866.13 : x
  2. Step 2: Convert to fraction form
    2,164.78/3,248.48 = 866.13/x
  3. Step 3: Cross multiply
    2,164.78x = 3,248.48 × 866.13
  4. Step 4: Simplify right side
    2,164.78x = 2,813,605.98
  5. Step 5: Solve for x
    x = 2,813,605.98/2,164.78
  6. Step 6: Final answer
    x = 1,299.72

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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.