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Finding the Fourth Proportional to 13,034.08, 17,982.88 and 7,993.12

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Solution

The fourth proportional to 13,034.08, 17,982.88 and 7,993.12 is: 11,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.08 : 17,982.88 = 7,993.12 : x
  2. Step 2: Convert to fraction form
    13,034.08/17,982.88 = 7,993.12/x
  3. Step 3: Cross multiply
    13,034.08x = 17,982.88 × 7,993.12
  4. Step 4: Simplify right side
    13,034.08x = 143,739,317.79
  5. Step 5: Solve for x
    x = 143,739,317.79/13,034.08
  6. Step 6: Final answer
    x = 11,027.96

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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.