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Finding the Fourth Proportional to 3,677.62, 5,074.77 and 2,980.66

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Solution

The fourth proportional to 3,677.62, 5,074.77 and 2,980.66 is: 4,113.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.62 : 5,074.77 = 2,980.66 : x
  2. Step 2: Convert to fraction form
    3,677.62/5,074.77 = 2,980.66/x
  3. Step 3: Cross multiply
    3,677.62x = 5,074.77 × 2,980.66
  4. Step 4: Simplify right side
    3,677.62x = 15,126,163.95
  5. Step 5: Solve for x
    x = 15,126,163.95/3,677.62
  6. Step 6: Final answer
    x = 4,113.03

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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.