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Finding the Fourth Proportional to 9,149.40, 13,724.10 and 4,775.40

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Solution

The fourth proportional to 9,149.40, 13,724.10 and 4,775.40 is: 7,163.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.40 : 13,724.10 = 4,775.40 : x
  2. Step 2: Convert to fraction form
    9,149.40/13,724.10 = 4,775.40/x
  3. Step 3: Cross multiply
    9,149.40x = 13,724.10 × 4,775.40
  4. Step 4: Simplify right side
    9,149.40x = 65,538,067.14
  5. Step 5: Solve for x
    x = 65,538,067.14/9,149.40
  6. Step 6: Final answer
    x = 7,163.10

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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.