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Finding the Fourth Proportional to 3,422.78, 5,133.41 and 956.93

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Solution

The fourth proportional to 3,422.78, 5,133.41 and 956.93 is: 1,435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.78 : 5,133.41 = 956.93 : x
  2. Step 2: Convert to fraction form
    3,422.78/5,133.41 = 956.93/x
  3. Step 3: Cross multiply
    3,422.78x = 5,133.41 × 956.93
  4. Step 4: Simplify right side
    3,422.78x = 4,912,309.25
  5. Step 5: Solve for x
    x = 4,912,309.25/3,422.78
  6. Step 6: Final answer
    x = 1,435.18

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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.