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Finding the Fourth Proportional to 5,252.80, 7,884.80 and 3,178.08

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Solution

The fourth proportional to 5,252.80, 7,884.80 and 3,178.08 is: 4,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.80 : 7,884.80 = 3,178.08 : x
  2. Step 2: Convert to fraction form
    5,252.80/7,884.80 = 3,178.08/x
  3. Step 3: Cross multiply
    5,252.80x = 7,884.80 × 3,178.08
  4. Step 4: Simplify right side
    5,252.80x = 25,058,525.18
  5. Step 5: Solve for x
    x = 25,058,525.18/5,252.80
  6. Step 6: Final answer
    x = 4,770.51

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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.