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Finding the Fourth Proportional to 1,320.44, 1,981.38 and 938.84

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Solution

The fourth proportional to 1,320.44, 1,981.38 and 938.84 is: 1,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.44 : 1,981.38 = 938.84 : x
  2. Step 2: Convert to fraction form
    1,320.44/1,981.38 = 938.84/x
  3. Step 3: Cross multiply
    1,320.44x = 1,981.38 × 938.84
  4. Step 4: Simplify right side
    1,320.44x = 1,860,198.80
  5. Step 5: Solve for x
    x = 1,860,198.80/1,320.44
  6. Step 6: Final answer
    x = 1,408.77

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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.