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Finding the Fourth Proportional to 19,137.38, 28,700.49 and 7,447.82

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Solution

The fourth proportional to 19,137.38, 28,700.49 and 7,447.82 is: 11,169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,137.38 : 28,700.49 = 7,447.82 : x
  2. Step 2: Convert to fraction form
    19,137.38/28,700.49 = 7,447.82/x
  3. Step 3: Cross multiply
    19,137.38x = 28,700.49 × 7,447.82
  4. Step 4: Simplify right side
    19,137.38x = 213,756,083.43
  5. Step 5: Solve for x
    x = 213,756,083.43/19,137.38
  6. Step 6: Final answer
    x = 11,169.56

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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.