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Finding the Fourth Proportional to 38,314.56, 57,402.72 and 21,864

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Solution

The fourth proportional to 38,314.56, 57,402.72 and 21,864 is: 32,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314.56 : 57,402.72 = 21,864 : x
  2. Step 2: Convert to fraction form
    38,314.56/57,402.72 = 21,864/x
  3. Step 3: Cross multiply
    38,314.56x = 57,402.72 × 21,864
  4. Step 4: Simplify right side
    38,314.56x = 1,255,053,070.08
  5. Step 5: Solve for x
    x = 1,255,053,070.08/38,314.56
  6. Step 6: Final answer
    x = 32,756.56

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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.