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Finding the Fourth Proportional to 2,788.36, 4,180.98 and 938.50

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Solution

The fourth proportional to 2,788.36, 4,180.98 and 938.50 is: 1,407.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.36 : 4,180.98 = 938.50 : x
  2. Step 2: Convert to fraction form
    2,788.36/4,180.98 = 938.50/x
  3. Step 3: Cross multiply
    2,788.36x = 4,180.98 × 938.50
  4. Step 4: Simplify right side
    2,788.36x = 3,923,849.73
  5. Step 5: Solve for x
    x = 3,923,849.73/2,788.36
  6. Step 6: Final answer
    x = 1,407.22

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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.