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Finding the Fourth Proportional to 38,513.79, 57,722.97 and 21,823.26

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Solution

The fourth proportional to 38,513.79, 57,722.97 and 21,823.26 is: 32,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,513.79 : 57,722.97 = 21,823.26 : x
  2. Step 2: Convert to fraction form
    38,513.79/57,722.97 = 21,823.26/x
  3. Step 3: Cross multiply
    38,513.79x = 57,722.97 × 21,823.26
  4. Step 4: Simplify right side
    38,513.79x = 1,259,703,382.28
  5. Step 5: Solve for x
    x = 1,259,703,382.28/38,513.79
  6. Step 6: Final answer
    x = 32,707.85

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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.