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Finding the Fourth Proportional to 38,157, 52,657.20 and 21,390

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Solution

The fourth proportional to 38,157, 52,657.20 and 21,390 is: 29,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,157 : 52,657.20 = 21,390 : x
  2. Step 2: Convert to fraction form
    38,157/52,657.20 = 21,390/x
  3. Step 3: Cross multiply
    38,157x = 52,657.20 × 21,390
  4. Step 4: Simplify right side
    38,157x = 1,126,337,508
  5. Step 5: Solve for x
    x = 1,126,337,508/38,157
  6. Step 6: Final answer
    x = 29,518.50

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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.