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Finding the Fourth Proportional to 3,976.61, 5,488.02 and 2,208.51

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Solution

The fourth proportional to 3,976.61, 5,488.02 and 2,208.51 is: 3,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.61 : 5,488.02 = 2,208.51 : x
  2. Step 2: Convert to fraction form
    3,976.61/5,488.02 = 2,208.51/x
  3. Step 3: Cross multiply
    3,976.61x = 5,488.02 × 2,208.51
  4. Step 4: Simplify right side
    3,976.61x = 12,120,347.05
  5. Step 5: Solve for x
    x = 12,120,347.05/3,976.61
  6. Step 6: Final answer
    x = 3,047.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.