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Finding the Fourth Proportional to 5,385.58, 8,078.35 and 1,489.97

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Solution

The fourth proportional to 5,385.58, 8,078.35 and 1,489.97 is: 2,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.58 : 8,078.35 = 1,489.97 : x
  2. Step 2: Convert to fraction form
    5,385.58/8,078.35 = 1,489.97/x
  3. Step 3: Cross multiply
    5,385.58x = 8,078.35 × 1,489.97
  4. Step 4: Simplify right side
    5,385.58x = 12,036,499.15
  5. Step 5: Solve for x
    x = 12,036,499.15/5,385.58
  6. Step 6: Final answer
    x = 2,234.95

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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.