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Finding the Fourth Proportional to 6,408.96, 8,844.48 and 3,758.28

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Solution

The fourth proportional to 6,408.96, 8,844.48 and 3,758.28 is: 5,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.96 : 8,844.48 = 3,758.28 : x
  2. Step 2: Convert to fraction form
    6,408.96/8,844.48 = 3,758.28/x
  3. Step 3: Cross multiply
    6,408.96x = 8,844.48 × 3,758.28
  4. Step 4: Simplify right side
    6,408.96x = 33,240,032.29
  5. Step 5: Solve for x
    x = 33,240,032.29/6,408.96
  6. Step 6: Final answer
    x = 5,186.49

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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.