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Finding the Fourth Proportional to 2,232.78, 3,369.17 and 2,142.87

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Solution

The fourth proportional to 2,232.78, 3,369.17 and 2,142.87 is: 3,233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.78 : 3,369.17 = 2,142.87 : x
  2. Step 2: Convert to fraction form
    2,232.78/3,369.17 = 2,142.87/x
  3. Step 3: Cross multiply
    2,232.78x = 3,369.17 × 2,142.87
  4. Step 4: Simplify right side
    2,232.78x = 7,219,682.60
  5. Step 5: Solve for x
    x = 7,219,682.60/2,232.78
  6. Step 6: Final answer
    x = 3,233.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.