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Finding the Fourth Proportional to 12,705.44, 19,069.86 and 6,469.91

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Solution

The fourth proportional to 12,705.44, 19,069.86 and 6,469.91 is: 9,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.44 : 19,069.86 = 6,469.91 : x
  2. Step 2: Convert to fraction form
    12,705.44/19,069.86 = 6,469.91/x
  3. Step 3: Cross multiply
    12,705.44x = 19,069.86 × 6,469.91
  4. Step 4: Simplify right side
    12,705.44x = 123,380,277.91
  5. Step 5: Solve for x
    x = 123,380,277.91/12,705.44
  6. Step 6: Final answer
    x = 9,710.82

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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.