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Finding the Fourth Proportional to 9,005, 13,507.44 and 2,431.85

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Solution

The fourth proportional to 9,005, 13,507.44 and 2,431.85 is: 3,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005 : 13,507.44 = 2,431.85 : x
  2. Step 2: Convert to fraction form
    9,005/13,507.44 = 2,431.85/x
  3. Step 3: Cross multiply
    9,005x = 13,507.44 × 2,431.85
  4. Step 4: Simplify right side
    9,005x = 32,848,067.96
  5. Step 5: Solve for x
    x = 32,848,067.96/9,005
  6. Step 6: Final answer
    x = 3,647.76

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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.