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Finding the Fourth Proportional to 3,873.72, 5,806.44 and 2,817

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Solution

The fourth proportional to 3,873.72, 5,806.44 and 2,817 is: 4,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.72 : 5,806.44 = 2,817 : x
  2. Step 2: Convert to fraction form
    3,873.72/5,806.44 = 2,817/x
  3. Step 3: Cross multiply
    3,873.72x = 5,806.44 × 2,817
  4. Step 4: Simplify right side
    3,873.72x = 16,356,741.48
  5. Step 5: Solve for x
    x = 16,356,741.48/3,873.72
  6. Step 6: Final answer
    x = 4,222.49

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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.