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Finding the Fourth Proportional to 9,884.68, 13,640.84 and 5,408.42

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Solution

The fourth proportional to 9,884.68, 13,640.84 and 5,408.42 is: 7,463.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.68 : 13,640.84 = 5,408.42 : x
  2. Step 2: Convert to fraction form
    9,884.68/13,640.84 = 5,408.42/x
  3. Step 3: Cross multiply
    9,884.68x = 13,640.84 × 5,408.42
  4. Step 4: Simplify right side
    9,884.68x = 73,775,391.87
  5. Step 5: Solve for x
    x = 73,775,391.87/9,884.68
  6. Step 6: Final answer
    x = 7,463.61

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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.