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Finding the Fourth Proportional to 12,761.41, 19,137.88 and 5,364.49

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Solution

The fourth proportional to 12,761.41, 19,137.88 and 5,364.49 is: 8,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.41 : 19,137.88 = 5,364.49 : x
  2. Step 2: Convert to fraction form
    12,761.41/19,137.88 = 5,364.49/x
  3. Step 3: Cross multiply
    12,761.41x = 19,137.88 × 5,364.49
  4. Step 4: Simplify right side
    12,761.41x = 102,664,965.88
  5. Step 5: Solve for x
    x = 102,664,965.88/12,761.41
  6. Step 6: Final answer
    x = 8,044.95

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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.