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Finding the Fourth Proportional to 19,694.70, 29,542.05 and 9,164.70

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Solution

The fourth proportional to 19,694.70, 29,542.05 and 9,164.70 is: 13,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.70 : 29,542.05 = 9,164.70 : x
  2. Step 2: Convert to fraction form
    19,694.70/29,542.05 = 9,164.70/x
  3. Step 3: Cross multiply
    19,694.70x = 29,542.05 × 9,164.70
  4. Step 4: Simplify right side
    19,694.70x = 270,744,025.64
  5. Step 5: Solve for x
    x = 270,744,025.64/19,694.70
  6. Step 6: Final answer
    x = 13,747.05

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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.