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Finding the Fourth Proportional to 12,766, 17,617.11 and 7,463.74

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Solution

The fourth proportional to 12,766, 17,617.11 and 7,463.74 is: 10,299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766 : 17,617.11 = 7,463.74 : x
  2. Step 2: Convert to fraction form
    12,766/17,617.11 = 7,463.74/x
  3. Step 3: Cross multiply
    12,766x = 17,617.11 × 7,463.74
  4. Step 4: Simplify right side
    12,766x = 131,489,528.59
  5. Step 5: Solve for x
    x = 131,489,528.59/12,766
  6. Step 6: Final answer
    x = 10,299.98

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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.