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Finding the Fourth Proportional to 8,728.94, 13,092.14 and 2,884.80

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Solution

The fourth proportional to 8,728.94, 13,092.14 and 2,884.80 is: 4,326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,728.94 : 13,092.14 = 2,884.80 : x
  2. Step 2: Convert to fraction form
    8,728.94/13,092.14 = 2,884.80/x
  3. Step 3: Cross multiply
    8,728.94x = 13,092.14 × 2,884.80
  4. Step 4: Simplify right side
    8,728.94x = 37,768,205.47
  5. Step 5: Solve for x
    x = 37,768,205.47/8,728.94
  6. Step 6: Final answer
    x = 4,326.78

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1.5x scale

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.