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Finding the Fourth Proportional to 19,974.40, 29,954.40 and 8,123.20

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Solution

The fourth proportional to 19,974.40, 29,954.40 and 8,123.20 is: 12,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.40 : 29,954.40 = 8,123.20 : x
  2. Step 2: Convert to fraction form
    19,974.40/29,954.40 = 8,123.20/x
  3. Step 3: Cross multiply
    19,974.40x = 29,954.40 × 8,123.20
  4. Step 4: Simplify right side
    19,974.40x = 243,325,582.08
  5. Step 5: Solve for x
    x = 243,325,582.08/19,974.40
  6. Step 6: Final answer
    x = 12,181.87

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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.