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Finding the Fourth Proportional to 6,469.66, 9,704.49 and 2,087.12

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Solution

The fourth proportional to 6,469.66, 9,704.49 and 2,087.12 is: 3,130.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.66 : 9,704.49 = 2,087.12 : x
  2. Step 2: Convert to fraction form
    6,469.66/9,704.49 = 2,087.12/x
  3. Step 3: Cross multiply
    6,469.66x = 9,704.49 × 2,087.12
  4. Step 4: Simplify right side
    6,469.66x = 20,254,459.43
  5. Step 5: Solve for x
    x = 20,254,459.43/6,469.66
  6. Step 6: Final answer
    x = 3,130.68

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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.