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Finding the Fourth Proportional to 3,806.76, 5,249.54 and 2,864.80

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Solution

The fourth proportional to 3,806.76, 5,249.54 and 2,864.80 is: 3,950.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.76 : 5,249.54 = 2,864.80 : x
  2. Step 2: Convert to fraction form
    3,806.76/5,249.54 = 2,864.80/x
  3. Step 3: Cross multiply
    3,806.76x = 5,249.54 × 2,864.80
  4. Step 4: Simplify right side
    3,806.76x = 15,038,868.60
  5. Step 5: Solve for x
    x = 15,038,868.60/3,806.76
  6. Step 6: Final answer
    x = 3,950.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.