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Finding the Fourth Proportional to 8,252.80, 12,388.80 and 4,969.60

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Solution

The fourth proportional to 8,252.80, 12,388.80 and 4,969.60 is: 7,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.80 : 12,388.80 = 4,969.60 : x
  2. Step 2: Convert to fraction form
    8,252.80/12,388.80 = 4,969.60/x
  3. Step 3: Cross multiply
    8,252.80x = 12,388.80 × 4,969.60
  4. Step 4: Simplify right side
    8,252.80x = 61,567,380.48
  5. Step 5: Solve for x
    x = 61,567,380.48/8,252.80
  6. Step 6: Final answer
    x = 7,460.18

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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.