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Finding the Fourth Proportional to 12,886.45, 17,791.87 and 9,896.94

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Solution

The fourth proportional to 12,886.45, 17,791.87 and 9,896.94 is: 13,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.45 : 17,791.87 = 9,896.94 : x
  2. Step 2: Convert to fraction form
    12,886.45/17,791.87 = 9,896.94/x
  3. Step 3: Cross multiply
    12,886.45x = 17,791.87 × 9,896.94
  4. Step 4: Simplify right side
    12,886.45x = 176,085,045.14
  5. Step 5: Solve for x
    x = 176,085,045.14/12,886.45
  6. Step 6: Final answer
    x = 13,664.36

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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.