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Finding the Fourth Proportional to 9,884.57, 13,640.74 and 5,408.30

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Solution

The fourth proportional to 9,884.57, 13,640.74 and 5,408.30 is: 7,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.57 : 13,640.74 = 5,408.30 : x
  2. Step 2: Convert to fraction form
    9,884.57/13,640.74 = 5,408.30/x
  3. Step 3: Cross multiply
    9,884.57x = 13,640.74 × 5,408.30
  4. Step 4: Simplify right side
    9,884.57x = 73,773,234.72
  5. Step 5: Solve for x
    x = 73,773,234.72/9,884.57
  6. Step 6: Final answer
    x = 7,463.48

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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.