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Finding the Fourth Proportional to 5,284.74, 7,928.91 and 1,998.78

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Solution

The fourth proportional to 5,284.74, 7,928.91 and 1,998.78 is: 2,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.74 : 7,928.91 = 1,998.78 : x
  2. Step 2: Convert to fraction form
    5,284.74/7,928.91 = 1,998.78/x
  3. Step 3: Cross multiply
    5,284.74x = 7,928.91 × 1,998.78
  4. Step 4: Simplify right side
    5,284.74x = 15,848,146.73
  5. Step 5: Solve for x
    x = 15,848,146.73/5,284.74
  6. Step 6: Final answer
    x = 2,998.85

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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.