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Finding the Fourth Proportional to 3,985.88, 5,978.77 and 1,793.06

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Solution

The fourth proportional to 3,985.88, 5,978.77 and 1,793.06 is: 2,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.88 : 5,978.77 = 1,793.06 : x
  2. Step 2: Convert to fraction form
    3,985.88/5,978.77 = 1,793.06/x
  3. Step 3: Cross multiply
    3,985.88x = 5,978.77 × 1,793.06
  4. Step 4: Simplify right side
    3,985.88x = 10,720,293.34
  5. Step 5: Solve for x
    x = 10,720,293.34/3,985.88
  6. Step 6: Final answer
    x = 2,689.57

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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.