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Finding the Fourth Proportional to 4,873.88, 6,726.09 and 2,778

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Solution

The fourth proportional to 4,873.88, 6,726.09 and 2,778 is: 3,833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.88 : 6,726.09 = 2,778 : x
  2. Step 2: Convert to fraction form
    4,873.88/6,726.09 = 2,778/x
  3. Step 3: Cross multiply
    4,873.88x = 6,726.09 × 2,778
  4. Step 4: Simplify right side
    4,873.88x = 18,685,078.02
  5. Step 5: Solve for x
    x = 18,685,078.02/4,873.88
  6. Step 6: Final answer
    x = 3,833.72

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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.