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Finding the Fourth Proportional to 12,897.47, 17,791.96 and 8,423.84

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Solution

The fourth proportional to 12,897.47, 17,791.96 and 8,423.84 is: 11,620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.47 : 17,791.96 = 8,423.84 : x
  2. Step 2: Convert to fraction form
    12,897.47/17,791.96 = 8,423.84/x
  3. Step 3: Cross multiply
    12,897.47x = 17,791.96 × 8,423.84
  4. Step 4: Simplify right side
    12,897.47x = 149,876,679.34
  5. Step 5: Solve for x
    x = 149,876,679.34/12,897.47
  6. Step 6: Final answer
    x = 11,620.62

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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.