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Finding the Fourth Proportional to 38,972.56, 53,769 and 22,193.68

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Solution

The fourth proportional to 38,972.56, 53,769 and 22,193.68 is: 30,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972.56 : 53,769 = 22,193.68 : x
  2. Step 2: Convert to fraction form
    38,972.56/53,769 = 22,193.68/x
  3. Step 3: Cross multiply
    38,972.56x = 53,769 × 22,193.68
  4. Step 4: Simplify right side
    38,972.56x = 1,193,331,979.92
  5. Step 5: Solve for x
    x = 1,193,331,979.92/38,972.56
  6. Step 6: Final answer
    x = 30,619.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.