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Finding the Fourth Proportional to 12,395.70, 18,593.46 and 5,475.06

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Solution

The fourth proportional to 12,395.70, 18,593.46 and 5,475.06 is: 8,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,395.70 : 18,593.46 = 5,475.06 : x
  2. Step 2: Convert to fraction form
    12,395.70/18,593.46 = 5,475.06/x
  3. Step 3: Cross multiply
    12,395.70x = 18,593.46 × 5,475.06
  4. Step 4: Simplify right side
    12,395.70x = 101,800,309.11
  5. Step 5: Solve for x
    x = 101,800,309.11/12,395.70
  6. Step 6: Final answer
    x = 8,212.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.