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Finding the Fourth Proportional to 6,650.40, 9,170.16 and 5,234.16

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Solution

The fourth proportional to 6,650.40, 9,170.16 and 5,234.16 is: 7,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.40 : 9,170.16 = 5,234.16 : x
  2. Step 2: Convert to fraction form
    6,650.40/9,170.16 = 5,234.16/x
  3. Step 3: Cross multiply
    6,650.40x = 9,170.16 × 5,234.16
  4. Step 4: Simplify right side
    6,650.40x = 47,998,084.67
  5. Step 5: Solve for x
    x = 47,998,084.67/6,650.40
  6. Step 6: Final answer
    x = 7,217.32

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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.