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Finding the Fourth Proportional to 6,408.96, 9,629.64 and 6,149.76

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Solution

The fourth proportional to 6,408.96, 9,629.64 and 6,149.76 is: 9,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.96 : 9,629.64 = 6,149.76 : x
  2. Step 2: Convert to fraction form
    6,408.96/9,629.64 = 6,149.76/x
  3. Step 3: Cross multiply
    6,408.96x = 9,629.64 × 6,149.76
  4. Step 4: Simplify right side
    6,408.96x = 59,219,974.89
  5. Step 5: Solve for x
    x = 59,219,974.89/6,408.96
  6. Step 6: Final answer
    x = 9,240.18

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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.