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Finding the Fourth Proportional to 5,815.48, 8,716.88 and 2,855.96

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Solution

The fourth proportional to 5,815.48, 8,716.88 and 2,855.96 is: 4,280.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.48 : 8,716.88 = 2,855.96 : x
  2. Step 2: Convert to fraction form
    5,815.48/8,716.88 = 2,855.96/x
  3. Step 3: Cross multiply
    5,815.48x = 8,716.88 × 2,855.96
  4. Step 4: Simplify right side
    5,815.48x = 24,895,002.74
  5. Step 5: Solve for x
    x = 24,895,002.74/5,815.48
  6. Step 6: Final answer
    x = 4,280.82

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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.