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Finding the Fourth Proportional to 38,506.70, 57,768.45 and 21,874.70

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Solution

The fourth proportional to 38,506.70, 57,768.45 and 21,874.70 is: 32,816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.70 : 57,768.45 = 21,874.70 : x
  2. Step 2: Convert to fraction form
    38,506.70/57,768.45 = 21,874.70/x
  3. Step 3: Cross multiply
    38,506.70x = 57,768.45 × 21,874.70
  4. Step 4: Simplify right side
    38,506.70x = 1,263,667,513.22
  5. Step 5: Solve for x
    x = 1,263,667,513.22/38,506.70
  6. Step 6: Final answer
    x = 32,816.82

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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.