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Finding the Fourth Proportional to 8,140.99, 12,202.06 and 3,749.22

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Solution

The fourth proportional to 8,140.99, 12,202.06 and 3,749.22 is: 5,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.99 : 12,202.06 = 3,749.22 : x
  2. Step 2: Convert to fraction form
    8,140.99/12,202.06 = 3,749.22/x
  3. Step 3: Cross multiply
    8,140.99x = 12,202.06 × 3,749.22
  4. Step 4: Simplify right side
    8,140.99x = 45,748,205.05
  5. Step 5: Solve for x
    x = 45,748,205.05/8,140.99
  6. Step 6: Final answer
    x = 5,619.49

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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.