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Finding the Fourth Proportional to 7,286.86, 10,928.64 and 2,844.64

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Solution

The fourth proportional to 7,286.86, 10,928.64 and 2,844.64 is: 4,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.86 : 10,928.64 = 2,844.64 : x
  2. Step 2: Convert to fraction form
    7,286.86/10,928.64 = 2,844.64/x
  3. Step 3: Cross multiply
    7,286.86x = 10,928.64 × 2,844.64
  4. Step 4: Simplify right side
    7,286.86x = 31,088,046.49
  5. Step 5: Solve for x
    x = 31,088,046.49/7,286.86
  6. Step 6: Final answer
    x = 4,266.32

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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.