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Finding the Fourth Proportional to 10,272.80, 15,376.80 and 8,069.60

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Solution

The fourth proportional to 10,272.80, 15,376.80 and 8,069.60 is: 12,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.80 : 15,376.80 = 8,069.60 : x
  2. Step 2: Convert to fraction form
    10,272.80/15,376.80 = 8,069.60/x
  3. Step 3: Cross multiply
    10,272.80x = 15,376.80 × 8,069.60
  4. Step 4: Simplify right side
    10,272.80x = 124,084,625.28
  5. Step 5: Solve for x
    x = 124,084,625.28/10,272.80
  6. Step 6: Final answer
    x = 12,078.95

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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.