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Finding the Fourth Proportional to 3,854.00, 5,776.13 and 3,212.48

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Solution

The fourth proportional to 3,854.00, 5,776.13 and 3,212.48 is: 4,814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.00 : 5,776.13 = 3,212.48 : x
  2. Step 2: Convert to fraction form
    3,854.00/5,776.13 = 3,212.48/x
  3. Step 3: Cross multiply
    3,854.00x = 5,776.13 × 3,212.48
  4. Step 4: Simplify right side
    3,854.00x = 18,555,657.16
  5. Step 5: Solve for x
    x = 18,555,657.16/3,854.00
  6. Step 6: Final answer
    x = 4,814.66

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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.