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Finding the Fourth Proportional to 4,878.92, 7,311.53 and 2,795.81

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Solution

The fourth proportional to 4,878.92, 7,311.53 and 2,795.81 is: 4,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.92 : 7,311.53 = 2,795.81 : x
  2. Step 2: Convert to fraction form
    4,878.92/7,311.53 = 2,795.81/x
  3. Step 3: Cross multiply
    4,878.92x = 7,311.53 × 2,795.81
  4. Step 4: Simplify right side
    4,878.92x = 20,441,619.12
  5. Step 5: Solve for x
    x = 20,441,619.12/4,878.92
  6. Step 6: Final answer
    x = 4,189.78

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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.