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Finding the Fourth Proportional to 2,160.78, 3,242.25 and 863.34

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Solution

The fourth proportional to 2,160.78, 3,242.25 and 863.34 is: 1,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.78 : 3,242.25 = 863.34 : x
  2. Step 2: Convert to fraction form
    2,160.78/3,242.25 = 863.34/x
  3. Step 3: Cross multiply
    2,160.78x = 3,242.25 × 863.34
  4. Step 4: Simplify right side
    2,160.78x = 2,799,164.12
  5. Step 5: Solve for x
    x = 2,799,164.12/2,160.78
  6. Step 6: Final answer
    x = 1,295.44

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1.5x scale

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.