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Finding the Fourth Proportional to 6,408.16, 8,837.73 and 4,169.21

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Solution

The fourth proportional to 6,408.16, 8,837.73 and 4,169.21 is: 5,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.16 : 8,837.73 = 4,169.21 : x
  2. Step 2: Convert to fraction form
    6,408.16/8,837.73 = 4,169.21/x
  3. Step 3: Cross multiply
    6,408.16x = 8,837.73 × 4,169.21
  4. Step 4: Simplify right side
    6,408.16x = 36,846,374.39
  5. Step 5: Solve for x
    x = 36,846,374.39/6,408.16
  6. Step 6: Final answer
    x = 5,749.92

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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.