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Finding the Fourth Proportional to 8,135.42, 12,203.12 and 4,247.42

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Solution

The fourth proportional to 8,135.42, 12,203.12 and 4,247.42 is: 6,371.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.42 : 12,203.12 = 4,247.42 : x
  2. Step 2: Convert to fraction form
    8,135.42/12,203.12 = 4,247.42/x
  3. Step 3: Cross multiply
    8,135.42x = 12,203.12 × 4,247.42
  4. Step 4: Simplify right side
    8,135.42x = 51,831,709.63
  5. Step 5: Solve for x
    x = 51,831,709.63/8,135.42
  6. Step 6: Final answer
    x = 6,371.12

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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.