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Finding the Fourth Proportional to 38,794.32, 58,208.76 and 20,322

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Solution

The fourth proportional to 38,794.32, 58,208.76 and 20,322 is: 30,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,794.32 : 58,208.76 = 20,322 : x
  2. Step 2: Convert to fraction form
    38,794.32/58,208.76 = 20,322/x
  3. Step 3: Cross multiply
    38,794.32x = 58,208.76 × 20,322
  4. Step 4: Simplify right side
    38,794.32x = 1,182,918,420.72
  5. Step 5: Solve for x
    x = 1,182,918,420.72/38,794.32
  6. Step 6: Final answer
    x = 30,492.05

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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.