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Finding the Fourth Proportional to 14,898, 20,559.24 and 8,274

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Solution

The fourth proportional to 14,898, 20,559.24 and 8,274 is: 11,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,898 : 20,559.24 = 8,274 : x
  2. Step 2: Convert to fraction form
    14,898/20,559.24 = 8,274/x
  3. Step 3: Cross multiply
    14,898x = 20,559.24 × 8,274
  4. Step 4: Simplify right side
    14,898x = 170,107,151.76
  5. Step 5: Solve for x
    x = 170,107,151.76/14,898
  6. Step 6: Final answer
    x = 11,418.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.