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Finding the Fourth Proportional to 3,392.81, 5,091.82 and 1,519.28

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Solution

The fourth proportional to 3,392.81, 5,091.82 and 1,519.28 is: 2,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.81 : 5,091.82 = 1,519.28 : x
  2. Step 2: Convert to fraction form
    3,392.81/5,091.82 = 1,519.28/x
  3. Step 3: Cross multiply
    3,392.81x = 5,091.82 × 1,519.28
  4. Step 4: Simplify right side
    3,392.81x = 7,735,890.13
  5. Step 5: Solve for x
    x = 7,735,890.13/3,392.81
  6. Step 6: Final answer
    x = 2,280.08

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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.