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Finding the Fourth Proportional to 35,489.88, 48,978.54 and 20,385

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Solution

The fourth proportional to 35,489.88, 48,978.54 and 20,385 is: 28,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,489.88 : 48,978.54 = 20,385 : x
  2. Step 2: Convert to fraction form
    35,489.88/48,978.54 = 20,385/x
  3. Step 3: Cross multiply
    35,489.88x = 48,978.54 × 20,385
  4. Step 4: Simplify right side
    35,489.88x = 998,427,537.90
  5. Step 5: Solve for x
    x = 998,427,537.90/35,489.88
  6. Step 6: Final answer
    x = 28,132.74

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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.