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Finding the Fourth Proportional to 2,776.83, 3,828.02 and 2,186.31

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Solution

The fourth proportional to 2,776.83, 3,828.02 and 2,186.31 is: 3,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.83 : 3,828.02 = 2,186.31 : x
  2. Step 2: Convert to fraction form
    2,776.83/3,828.02 = 2,186.31/x
  3. Step 3: Cross multiply
    2,776.83x = 3,828.02 × 2,186.31
  4. Step 4: Simplify right side
    2,776.83x = 8,369,227.47
  5. Step 5: Solve for x
    x = 8,369,227.47/2,776.83
  6. Step 6: Final answer
    x = 3,013.95

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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.