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Finding the Fourth Proportional to 2,548.08, 3,821.81 and 699.35

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Solution

The fourth proportional to 2,548.08, 3,821.81 and 699.35 is: 1,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.08 : 3,821.81 = 699.35 : x
  2. Step 2: Convert to fraction form
    2,548.08/3,821.81 = 699.35/x
  3. Step 3: Cross multiply
    2,548.08x = 3,821.81 × 699.35
  4. Step 4: Simplify right side
    2,548.08x = 2,672,760.22
  5. Step 5: Solve for x
    x = 2,672,760.22/2,548.08
  6. Step 6: Final answer
    x = 1,048.93

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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.