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Finding the Fourth Proportional to 5,809.60, 8,715.84 and 2,728

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Solution

The fourth proportional to 5,809.60, 8,715.84 and 2,728 is: 4,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.60 : 8,715.84 = 2,728 : x
  2. Step 2: Convert to fraction form
    5,809.60/8,715.84 = 2,728/x
  3. Step 3: Cross multiply
    5,809.60x = 8,715.84 × 2,728
  4. Step 4: Simplify right side
    5,809.60x = 23,776,811.52
  5. Step 5: Solve for x
    x = 23,776,811.52/5,809.60
  6. Step 6: Final answer
    x = 4,092.68

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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.