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Finding the Fourth Proportional to 3,977.05, 5,488.10 and 2,208.55

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Solution

The fourth proportional to 3,977.05, 5,488.10 and 2,208.55 is: 3,047.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.05 : 5,488.10 = 2,208.55 : x
  2. Step 2: Convert to fraction form
    3,977.05/5,488.10 = 2,208.55/x
  3. Step 3: Cross multiply
    3,977.05x = 5,488.10 × 2,208.55
  4. Step 4: Simplify right side
    3,977.05x = 12,120,732.21
  5. Step 5: Solve for x
    x = 12,120,732.21/3,977.05
  6. Step 6: Final answer
    x = 3,047.67

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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.