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Finding the Fourth Proportional to 2,294, 3,441.68 and 1,320.80

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Solution

The fourth proportional to 2,294, 3,441.68 and 1,320.80 is: 1,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294 : 3,441.68 = 1,320.80 : x
  2. Step 2: Convert to fraction form
    2,294/3,441.68 = 1,320.80/x
  3. Step 3: Cross multiply
    2,294x = 3,441.68 × 1,320.80
  4. Step 4: Simplify right side
    2,294x = 4,545,770.94
  5. Step 5: Solve for x
    x = 4,545,770.94/2,294
  6. Step 6: Final answer
    x = 1,981.59

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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.