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Finding the Fourth Proportional to 12,704.71, 19,068.77 and 6,469.22

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Solution

The fourth proportional to 12,704.71, 19,068.77 and 6,469.22 is: 9,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.71 : 19,068.77 = 6,469.22 : x
  2. Step 2: Convert to fraction form
    12,704.71/19,068.77 = 6,469.22/x
  3. Step 3: Cross multiply
    12,704.71x = 19,068.77 × 6,469.22
  4. Step 4: Simplify right side
    12,704.71x = 123,359,989.09
  5. Step 5: Solve for x
    x = 123,359,989.09/12,704.71
  6. Step 6: Final answer
    x = 9,709.79

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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.