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Finding the Fourth Proportional to 15,897, 23,834.97 and 7,578.30

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Solution

The fourth proportional to 15,897, 23,834.97 and 7,578.30 is: 11,362.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897 : 23,834.97 = 7,578.30 : x
  2. Step 2: Convert to fraction form
    15,897/23,834.97 = 7,578.30/x
  3. Step 3: Cross multiply
    15,897x = 23,834.97 × 7,578.30
  4. Step 4: Simplify right side
    15,897x = 180,628,553.15
  5. Step 5: Solve for x
    x = 180,628,553.15/15,897
  6. Step 6: Final answer
    x = 11,362.43

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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.