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Finding the Fourth Proportional to 12,146, 18,226.60 and 5,220.48

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Solution

The fourth proportional to 12,146, 18,226.60 and 5,220.48 is: 7,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146 : 18,226.60 = 5,220.48 : x
  2. Step 2: Convert to fraction form
    12,146/18,226.60 = 5,220.48/x
  3. Step 3: Cross multiply
    12,146x = 18,226.60 × 5,220.48
  4. Step 4: Simplify right side
    12,146x = 95,151,600.77
  5. Step 5: Solve for x
    x = 95,151,600.77/12,146
  6. Step 6: Final answer
    x = 7,833.99

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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.