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Finding the Fourth Proportional to 14,560, 20,092.80 and 7,936

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Solution

The fourth proportional to 14,560, 20,092.80 and 7,936 is: 10,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560 : 20,092.80 = 7,936 : x
  2. Step 2: Convert to fraction form
    14,560/20,092.80 = 7,936/x
  3. Step 3: Cross multiply
    14,560x = 20,092.80 × 7,936
  4. Step 4: Simplify right side
    14,560x = 159,456,460.80
  5. Step 5: Solve for x
    x = 159,456,460.80/14,560
  6. Step 6: Final answer
    x = 10,951.68

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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.