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Finding the Fourth Proportional to 21,874.78, 32,817.39 and 7,083.70

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Solution

The fourth proportional to 21,874.78, 32,817.39 and 7,083.70 is: 10,627.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.78 : 32,817.39 = 7,083.70 : x
  2. Step 2: Convert to fraction form
    21,874.78/32,817.39 = 7,083.70/x
  3. Step 3: Cross multiply
    21,874.78x = 32,817.39 × 7,083.70
  4. Step 4: Simplify right side
    21,874.78x = 232,468,545.54
  5. Step 5: Solve for x
    x = 232,468,545.54/21,874.78
  6. Step 6: Final answer
    x = 10,627.24

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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.