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Finding the Fourth Proportional to 3,894.96, 5,865.35 and 2,806.98

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Solution

The fourth proportional to 3,894.96, 5,865.35 and 2,806.98 is: 4,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.96 : 5,865.35 = 2,806.98 : x
  2. Step 2: Convert to fraction form
    3,894.96/5,865.35 = 2,806.98/x
  3. Step 3: Cross multiply
    3,894.96x = 5,865.35 × 2,806.98
  4. Step 4: Simplify right side
    3,894.96x = 16,463,920.14
  5. Step 5: Solve for x
    x = 16,463,920.14/3,894.96
  6. Step 6: Final answer
    x = 4,226.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.