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Finding the Fourth Proportional to 13,193.80, 19,781.76 and 6,947.20

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Solution

The fourth proportional to 13,193.80, 19,781.76 and 6,947.20 is: 10,416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.80 : 19,781.76 = 6,947.20 : x
  2. Step 2: Convert to fraction form
    13,193.80/19,781.76 = 6,947.20/x
  3. Step 3: Cross multiply
    13,193.80x = 19,781.76 × 6,947.20
  4. Step 4: Simplify right side
    13,193.80x = 137,427,843.07
  5. Step 5: Solve for x
    x = 137,427,843.07/13,193.80
  6. Step 6: Final answer
    x = 10,416.09

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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.