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Finding the Fourth Proportional to 5,487.63, 8,230.37 and 1,977.54

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Solution

The fourth proportional to 5,487.63, 8,230.37 and 1,977.54 is: 2,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,487.63 : 8,230.37 = 1,977.54 : x
  2. Step 2: Convert to fraction form
    5,487.63/8,230.37 = 1,977.54/x
  3. Step 3: Cross multiply
    5,487.63x = 8,230.37 × 1,977.54
  4. Step 4: Simplify right side
    5,487.63x = 16,275,876.00
  5. Step 5: Solve for x
    x = 16,275,876.00/5,487.63
  6. Step 6: Final answer
    x = 2,965.92

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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.