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Finding the Fourth Proportional to 19,711.72, 29,569.49 and 7,228.73

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Solution

The fourth proportional to 19,711.72, 29,569.49 and 7,228.73 is: 10,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.72 : 29,569.49 = 7,228.73 : x
  2. Step 2: Convert to fraction form
    19,711.72/29,569.49 = 7,228.73/x
  3. Step 3: Cross multiply
    19,711.72x = 29,569.49 × 7,228.73
  4. Step 4: Simplify right side
    19,711.72x = 213,749,823.30
  5. Step 5: Solve for x
    x = 213,749,823.30/19,711.72
  6. Step 6: Final answer
    x = 10,843.80

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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.