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Finding the Fourth Proportional to 9,169.82, 12,647.10 and 6,338.24

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Solution

The fourth proportional to 9,169.82, 12,647.10 and 6,338.24 is: 8,741.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.82 : 12,647.10 = 6,338.24 : x
  2. Step 2: Convert to fraction form
    9,169.82/12,647.10 = 6,338.24/x
  3. Step 3: Cross multiply
    9,169.82x = 12,647.10 × 6,338.24
  4. Step 4: Simplify right side
    9,169.82x = 80,160,355.10
  5. Step 5: Solve for x
    x = 80,160,355.10/9,169.82
  6. Step 6: Final answer
    x = 8,741.76

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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.