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Finding the Fourth Proportional to 38,475.40, 57,720.90 and 21,843.40

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Solution

The fourth proportional to 38,475.40, 57,720.90 and 21,843.40 is: 32,769.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475.40 : 57,720.90 = 21,843.40 : x
  2. Step 2: Convert to fraction form
    38,475.40/57,720.90 = 21,843.40/x
  3. Step 3: Cross multiply
    38,475.40x = 57,720.90 × 21,843.40
  4. Step 4: Simplify right side
    38,475.40x = 1,260,820,707.06
  5. Step 5: Solve for x
    x = 1,260,820,707.06/38,475.40
  6. Step 6: Final answer
    x = 32,769.53

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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.