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Finding the Fourth Proportional to 9,884.76, 13,640.97 and 5,408.55

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Solution

The fourth proportional to 9,884.76, 13,640.97 and 5,408.55 is: 7,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.76 : 13,640.97 = 5,408.55 : x
  2. Step 2: Convert to fraction form
    9,884.76/13,640.97 = 5,408.55/x
  3. Step 3: Cross multiply
    9,884.76x = 13,640.97 × 5,408.55
  4. Step 4: Simplify right side
    9,884.76x = 73,777,868.29
  5. Step 5: Solve for x
    x = 73,777,868.29/9,884.76
  6. Step 6: Final answer
    x = 7,463.80

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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.