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Finding the Fourth Proportional to 3,677.92, 5,511.48 and 2,749.12

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Solution

The fourth proportional to 3,677.92, 5,511.48 and 2,749.12 is: 4,119.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.92 : 5,511.48 = 2,749.12 : x
  2. Step 2: Convert to fraction form
    3,677.92/5,511.48 = 2,749.12/x
  3. Step 3: Cross multiply
    3,677.92x = 5,511.48 × 2,749.12
  4. Step 4: Simplify right side
    3,677.92x = 15,151,719.90
  5. Step 5: Solve for x
    x = 15,151,719.90/3,677.92
  6. Step 6: Final answer
    x = 4,119.64

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1.5x scale

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.