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Finding the Fourth Proportional to 13,006.92, 17,949.78 and 7,342.80

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Solution

The fourth proportional to 13,006.92, 17,949.78 and 7,342.80 is: 10,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.92 : 17,949.78 = 7,342.80 : x
  2. Step 2: Convert to fraction form
    13,006.92/17,949.78 = 7,342.80/x
  3. Step 3: Cross multiply
    13,006.92x = 17,949.78 × 7,342.80
  4. Step 4: Simplify right side
    13,006.92x = 131,801,644.58
  5. Step 5: Solve for x
    x = 131,801,644.58/13,006.92
  6. Step 6: Final answer
    x = 10,133.19

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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.