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Finding the Fourth Proportional to 5,385.54, 8,078.31 and 1,687.77

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Solution

The fourth proportional to 5,385.54, 8,078.31 and 1,687.77 is: 2,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.54 : 8,078.31 = 1,687.77 : x
  2. Step 2: Convert to fraction form
    5,385.54/8,078.31 = 1,687.77/x
  3. Step 3: Cross multiply
    5,385.54x = 8,078.31 × 1,687.77
  4. Step 4: Simplify right side
    5,385.54x = 13,634,280.44
  5. Step 5: Solve for x
    x = 13,634,280.44/5,385.54
  6. Step 6: Final answer
    x = 2,531.65

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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.