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Finding the Fourth Proportional to 3,578.68, 5,364.25 and 1,934.78

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Solution

The fourth proportional to 3,578.68, 5,364.25 and 1,934.78 is: 2,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.68 : 5,364.25 = 1,934.78 : x
  2. Step 2: Convert to fraction form
    3,578.68/5,364.25 = 1,934.78/x
  3. Step 3: Cross multiply
    3,578.68x = 5,364.25 × 1,934.78
  4. Step 4: Simplify right side
    3,578.68x = 10,378,643.62
  5. Step 5: Solve for x
    x = 10,378,643.62/3,578.68
  6. Step 6: Final answer
    x = 2,900.13

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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.