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Finding the Fourth Proportional to 9,601, 13,249.38 and 5,185

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Solution

The fourth proportional to 9,601, 13,249.38 and 5,185 is: 7,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601 : 13,249.38 = 5,185 : x
  2. Step 2: Convert to fraction form
    9,601/13,249.38 = 5,185/x
  3. Step 3: Cross multiply
    9,601x = 13,249.38 × 5,185
  4. Step 4: Simplify right side
    9,601x = 68,698,035.30
  5. Step 5: Solve for x
    x = 68,698,035.30/9,601
  6. Step 6: Final answer
    x = 7,155.30

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Double scale
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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.