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Finding the Fourth Proportional to 12,665.20, 18,997.78 and 3,431.20

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Solution

The fourth proportional to 12,665.20, 18,997.78 and 3,431.20 is: 5,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.20 : 18,997.78 = 3,431.20 : x
  2. Step 2: Convert to fraction form
    12,665.20/18,997.78 = 3,431.20/x
  3. Step 3: Cross multiply
    12,665.20x = 18,997.78 × 3,431.20
  4. Step 4: Simplify right side
    12,665.20x = 65,185,182.74
  5. Step 5: Solve for x
    x = 65,185,182.74/12,665.20
  6. Step 6: Final answer
    x = 5,146.79

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1.5x scale

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.