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Finding the Fourth Proportional to 5,809.92, 8,716.80 and 5,491.20

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Solution

The fourth proportional to 5,809.92, 8,716.80 and 5,491.20 is: 8,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.92 : 8,716.80 = 5,491.20 : x
  2. Step 2: Convert to fraction form
    5,809.92/8,716.80 = 5,491.20/x
  3. Step 3: Cross multiply
    5,809.92x = 8,716.80 × 5,491.20
  4. Step 4: Simplify right side
    5,809.92x = 47,865,692.16
  5. Step 5: Solve for x
    x = 47,865,692.16/5,809.92
  6. Step 6: Final answer
    x = 8,238.61

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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.