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Finding the Fourth Proportional to 9,163.12, 12,643 and 5,183.38

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Solution

The fourth proportional to 9,163.12, 12,643 and 5,183.38 is: 7,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.12 : 12,643 = 5,183.38 : x
  2. Step 2: Convert to fraction form
    9,163.12/12,643 = 5,183.38/x
  3. Step 3: Cross multiply
    9,163.12x = 12,643 × 5,183.38
  4. Step 4: Simplify right side
    9,163.12x = 65,533,473.34
  5. Step 5: Solve for x
    x = 65,533,473.34/9,163.12
  6. Step 6: Final answer
    x = 7,151.87

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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.