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Finding the Fourth Proportional to 19,819.27, 29,738.64 and 7,972.57

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Solution

The fourth proportional to 19,819.27, 29,738.64 and 7,972.57 is: 11,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,819.27 : 29,738.64 = 7,972.57 : x
  2. Step 2: Convert to fraction form
    19,819.27/29,738.64 = 7,972.57/x
  3. Step 3: Cross multiply
    19,819.27x = 29,738.64 × 7,972.57
  4. Step 4: Simplify right side
    19,819.27x = 237,093,389.10
  5. Step 5: Solve for x
    x = 237,093,389.10/19,819.27
  6. Step 6: Final answer
    x = 11,962.77

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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.