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Finding the Fourth Proportional to 5,192.85, 7,788.87 and 2,418.87

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Solution

The fourth proportional to 5,192.85, 7,788.87 and 2,418.87 is: 3,628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.85 : 7,788.87 = 2,418.87 : x
  2. Step 2: Convert to fraction form
    5,192.85/7,788.87 = 2,418.87/x
  3. Step 3: Cross multiply
    5,192.85x = 7,788.87 × 2,418.87
  4. Step 4: Simplify right side
    5,192.85x = 18,840,263.98
  5. Step 5: Solve for x
    x = 18,840,263.98/5,192.85
  6. Step 6: Final answer
    x = 3,628.12

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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.