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Finding the Fourth Proportional to 8,135.66, 12,199.16 and 3,749.40

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Solution

The fourth proportional to 8,135.66, 12,199.16 and 3,749.40 is: 5,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.66 : 12,199.16 = 3,749.40 : x
  2. Step 2: Convert to fraction form
    8,135.66/12,199.16 = 3,749.40/x
  3. Step 3: Cross multiply
    8,135.66x = 12,199.16 × 3,749.40
  4. Step 4: Simplify right side
    8,135.66x = 45,739,530.50
  5. Step 5: Solve for x
    x = 45,739,530.50/8,135.66
  6. Step 6: Final answer
    x = 5,622.10

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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.