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Finding the Fourth Proportional to 12,791.34, 17,644.97 and 10,648.68

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Solution

The fourth proportional to 12,791.34, 17,644.97 and 10,648.68 is: 14,689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.34 : 17,644.97 = 10,648.68 : x
  2. Step 2: Convert to fraction form
    12,791.34/17,644.97 = 10,648.68/x
  3. Step 3: Cross multiply
    12,791.34x = 17,644.97 × 10,648.68
  4. Step 4: Simplify right side
    12,791.34x = 187,895,639.14
  5. Step 5: Solve for x
    x = 187,895,639.14/12,791.34
  6. Step 6: Final answer
    x = 14,689.29

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1.5x scale

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.