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Finding the Fourth Proportional to 1,872.54, 2,809.38 and 639.95

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Solution

The fourth proportional to 1,872.54, 2,809.38 and 639.95 is: 960.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.54 : 2,809.38 = 639.95 : x
  2. Step 2: Convert to fraction form
    1,872.54/2,809.38 = 639.95/x
  3. Step 3: Cross multiply
    1,872.54x = 2,809.38 × 639.95
  4. Step 4: Simplify right side
    1,872.54x = 1,797,848.68
  5. Step 5: Solve for x
    x = 1,797,848.68/1,872.54
  6. Step 6: Final answer
    x = 960.11

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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.