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Finding the Fourth Proportional to 3,886.34, 5,359.91 and 2,822.00

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Solution

The fourth proportional to 3,886.34, 5,359.91 and 2,822.00 is: 3,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.34 : 5,359.91 = 2,822.00 : x
  2. Step 2: Convert to fraction form
    3,886.34/5,359.91 = 2,822.00/x
  3. Step 3: Cross multiply
    3,886.34x = 5,359.91 × 2,822.00
  4. Step 4: Simplify right side
    3,886.34x = 15,125,625.11
  5. Step 5: Solve for x
    x = 15,125,625.11/3,886.34
  6. Step 6: Final answer
    x = 3,892.00

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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.