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Finding the Fourth Proportional to 3,878.52, 5,352.63 and 2,366.66

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Solution

The fourth proportional to 3,878.52, 5,352.63 and 2,366.66 is: 3,266.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.52 : 5,352.63 = 2,366.66 : x
  2. Step 2: Convert to fraction form
    3,878.52/5,352.63 = 2,366.66/x
  3. Step 3: Cross multiply
    3,878.52x = 5,352.63 × 2,366.66
  4. Step 4: Simplify right side
    3,878.52x = 12,667,828.55
  5. Step 5: Solve for x
    x = 12,667,828.55/3,878.52
  6. Step 6: Final answer
    x = 3,266.15

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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.