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Finding the Fourth Proportional to 5,285.61, 7,928.91 and 1,998.77

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Solution

The fourth proportional to 5,285.61, 7,928.91 and 1,998.77 is: 2,998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.61 : 7,928.91 = 1,998.77 : x
  2. Step 2: Convert to fraction form
    5,285.61/7,928.91 = 1,998.77/x
  3. Step 3: Cross multiply
    5,285.61x = 7,928.91 × 1,998.77
  4. Step 4: Simplify right side
    5,285.61x = 15,848,027.80
  5. Step 5: Solve for x
    x = 15,848,027.80/5,285.61
  6. Step 6: Final answer
    x = 2,998.33

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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.