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Finding the Fourth Proportional to 12,652.44, 18,978.72 and 3,291.87

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Solution

The fourth proportional to 12,652.44, 18,978.72 and 3,291.87 is: 4,937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.44 : 18,978.72 = 3,291.87 : x
  2. Step 2: Convert to fraction form
    12,652.44/18,978.72 = 3,291.87/x
  3. Step 3: Cross multiply
    12,652.44x = 18,978.72 × 3,291.87
  4. Step 4: Simplify right side
    12,652.44x = 62,475,556.35
  5. Step 5: Solve for x
    x = 62,475,556.35/12,652.44
  6. Step 6: Final answer
    x = 4,937.83

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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.