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Finding the Fourth Proportional to 35,322, 48,748.68 and 20,418

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Solution

The fourth proportional to 35,322, 48,748.68 and 20,418 is: 28,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,322 : 48,748.68 = 20,418 : x
  2. Step 2: Convert to fraction form
    35,322/48,748.68 = 20,418/x
  3. Step 3: Cross multiply
    35,322x = 48,748.68 × 20,418
  4. Step 4: Simplify right side
    35,322x = 995,350,548.24
  5. Step 5: Solve for x
    x = 995,350,548.24/35,322
  6. Step 6: Final answer
    x = 28,179.34

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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.