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Finding the Fourth Proportional to 12,897.64, 17,791.14 and 8,174.44

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Solution

The fourth proportional to 12,897.64, 17,791.14 and 8,174.44 is: 11,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.64 : 17,791.14 = 8,174.44 : x
  2. Step 2: Convert to fraction form
    12,897.64/17,791.14 = 8,174.44/x
  3. Step 3: Cross multiply
    12,897.64x = 17,791.14 × 8,174.44
  4. Step 4: Simplify right side
    12,897.64x = 145,432,606.46
  5. Step 5: Solve for x
    x = 145,432,606.46/12,897.64
  6. Step 6: Final answer
    x = 11,275.91

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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.