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Finding the Fourth Proportional to 9,138.34, 13,712.98 and 3,944.22

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Solution

The fourth proportional to 9,138.34, 13,712.98 and 3,944.22 is: 5,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.34 : 13,712.98 = 3,944.22 : x
  2. Step 2: Convert to fraction form
    9,138.34/13,712.98 = 3,944.22/x
  3. Step 3: Cross multiply
    9,138.34x = 13,712.98 × 3,944.22
  4. Step 4: Simplify right side
    9,138.34x = 54,087,009.98
  5. Step 5: Solve for x
    x = 54,087,009.98/9,138.34
  6. Step 6: Final answer
    x = 5,918.69

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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.