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Finding the Fourth Proportional to 3,894.38, 5,841.42 and 1,553.68

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Solution

The fourth proportional to 3,894.38, 5,841.42 and 1,553.68 is: 2,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.38 : 5,841.42 = 1,553.68 : x
  2. Step 2: Convert to fraction form
    3,894.38/5,841.42 = 1,553.68/x
  3. Step 3: Cross multiply
    3,894.38x = 5,841.42 × 1,553.68
  4. Step 4: Simplify right side
    3,894.38x = 9,075,698.90
  5. Step 5: Solve for x
    x = 9,075,698.90/3,894.38
  6. Step 6: Final answer
    x = 2,330.46

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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.