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Finding the Fourth Proportional to 35,517.64, 48,998.10 and 20,605

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Solution

The fourth proportional to 35,517.64, 48,998.10 and 20,605 is: 28,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,517.64 : 48,998.10 = 20,605 : x
  2. Step 2: Convert to fraction form
    35,517.64/48,998.10 = 20,605/x
  3. Step 3: Cross multiply
    35,517.64x = 48,998.10 × 20,605
  4. Step 4: Simplify right side
    35,517.64x = 1,009,605,850.50
  5. Step 5: Solve for x
    x = 1,009,605,850.50/35,517.64
  6. Step 6: Final answer
    x = 28,425.48

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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.