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Finding the Fourth Proportional to 38,163.88, 52,661.72 and 21,164

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Solution

The fourth proportional to 38,163.88, 52,661.72 and 21,164 is: 29,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,163.88 : 52,661.72 = 21,164 : x
  2. Step 2: Convert to fraction form
    38,163.88/52,661.72 = 21,164/x
  3. Step 3: Cross multiply
    38,163.88x = 52,661.72 × 21,164
  4. Step 4: Simplify right side
    38,163.88x = 1,114,532,642.08
  5. Step 5: Solve for x
    x = 1,114,532,642.08/38,163.88
  6. Step 6: Final answer
    x = 29,203.86

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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.