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Finding the Fourth Proportional to 3,776.55, 5,208.06 and 3,147.85

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Solution

The fourth proportional to 3,776.55, 5,208.06 and 3,147.85 is: 4,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.55 : 5,208.06 = 3,147.85 : x
  2. Step 2: Convert to fraction form
    3,776.55/5,208.06 = 3,147.85/x
  3. Step 3: Cross multiply
    3,776.55x = 5,208.06 × 3,147.85
  4. Step 4: Simplify right side
    3,776.55x = 16,394,191.67
  5. Step 5: Solve for x
    x = 16,394,191.67/3,776.55
  6. Step 6: Final answer
    x = 4,341.05

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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.