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Finding the Fourth Proportional to 5,874.21, 8,811.14 and 1,978.61

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Solution

The fourth proportional to 5,874.21, 8,811.14 and 1,978.61 is: 2,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.21 : 8,811.14 = 1,978.61 : x
  2. Step 2: Convert to fraction form
    5,874.21/8,811.14 = 1,978.61/x
  3. Step 3: Cross multiply
    5,874.21x = 8,811.14 × 1,978.61
  4. Step 4: Simplify right side
    5,874.21x = 17,433,755.77
  5. Step 5: Solve for x
    x = 17,433,755.77/5,874.21
  6. Step 6: Final answer
    x = 2,967.85

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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.