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Finding the Fourth Proportional to 12,896.70, 19,345.05 and 6,991.80

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Solution

The fourth proportional to 12,896.70, 19,345.05 and 6,991.80 is: 10,487.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.70 : 19,345.05 = 6,991.80 : x
  2. Step 2: Convert to fraction form
    12,896.70/19,345.05 = 6,991.80/x
  3. Step 3: Cross multiply
    12,896.70x = 19,345.05 × 6,991.80
  4. Step 4: Simplify right side
    12,896.70x = 135,256,720.59
  5. Step 5: Solve for x
    x = 135,256,720.59/12,896.70
  6. Step 6: Final answer
    x = 10,487.70

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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.