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Finding the Fourth Proportional to 9,272.44, 12,786.08 and 7,380.28

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Solution

The fourth proportional to 9,272.44, 12,786.08 and 7,380.28 is: 10,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.44 : 12,786.08 = 7,380.28 : x
  2. Step 2: Convert to fraction form
    9,272.44/12,786.08 = 7,380.28/x
  3. Step 3: Cross multiply
    9,272.44x = 12,786.08 × 7,380.28
  4. Step 4: Simplify right side
    9,272.44x = 94,364,850.50
  5. Step 5: Solve for x
    x = 94,364,850.50/9,272.44
  6. Step 6: Final answer
    x = 10,176.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.