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Finding the Fourth Proportional to 2,164.62, 3,247.41 and 625.50

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Solution

The fourth proportional to 2,164.62, 3,247.41 and 625.50 is: 938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.62 : 3,247.41 = 625.50 : x
  2. Step 2: Convert to fraction form
    2,164.62/3,247.41 = 625.50/x
  3. Step 3: Cross multiply
    2,164.62x = 3,247.41 × 625.50
  4. Step 4: Simplify right side
    2,164.62x = 2,031,254.96
  5. Step 5: Solve for x
    x = 2,031,254.96/2,164.62
  6. Step 6: Final answer
    x = 938.39

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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.