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Finding the Fourth Proportional to 5,252.77, 7,871.73 and 2,788.75

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Solution

The fourth proportional to 5,252.77, 7,871.73 and 2,788.75 is: 4,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.77 : 7,871.73 = 2,788.75 : x
  2. Step 2: Convert to fraction form
    5,252.77/7,871.73 = 2,788.75/x
  3. Step 3: Cross multiply
    5,252.77x = 7,871.73 × 2,788.75
  4. Step 4: Simplify right side
    5,252.77x = 21,952,287.04
  5. Step 5: Solve for x
    x = 21,952,287.04/5,252.77
  6. Step 6: Final answer
    x = 4,179.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.