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Finding the Fourth Proportional to 3,866.10, 5,335.23 and 2,097.71

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Solution

The fourth proportional to 3,866.10, 5,335.23 and 2,097.71 is: 2,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.10 : 5,335.23 = 2,097.71 : x
  2. Step 2: Convert to fraction form
    3,866.10/5,335.23 = 2,097.71/x
  3. Step 3: Cross multiply
    3,866.10x = 5,335.23 × 2,097.71
  4. Step 4: Simplify right side
    3,866.10x = 11,191,784.73
  5. Step 5: Solve for x
    x = 11,191,784.73/3,866.10
  6. Step 6: Final answer
    x = 2,894.85

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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.