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Finding the Fourth Proportional to 38,162.88, 52,660.34 and 21,163

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Solution

The fourth proportional to 38,162.88, 52,660.34 and 21,163 is: 29,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,162.88 : 52,660.34 = 21,163 : x
  2. Step 2: Convert to fraction form
    38,162.88/52,660.34 = 21,163/x
  3. Step 3: Cross multiply
    38,162.88x = 52,660.34 × 21,163
  4. Step 4: Simplify right side
    38,162.88x = 1,114,450,775.42
  5. Step 5: Solve for x
    x = 1,114,450,775.42/38,162.88
  6. Step 6: Final answer
    x = 29,202.48

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1.5x scale

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.