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Finding the Fourth Proportional to 3,199.62, 4,799.82 and 1,554.78

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Solution

The fourth proportional to 3,199.62, 4,799.82 and 1,554.78 is: 2,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.62 : 4,799.82 = 1,554.78 : x
  2. Step 2: Convert to fraction form
    3,199.62/4,799.82 = 1,554.78/x
  3. Step 3: Cross multiply
    3,199.62x = 4,799.82 × 1,554.78
  4. Step 4: Simplify right side
    3,199.62x = 7,462,664.14
  5. Step 5: Solve for x
    x = 7,462,664.14/3,199.62
  6. Step 6: Final answer
    x = 2,332.36

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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.