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Finding the Fourth Proportional to 22,912, 31,620.48 and 12,842.80

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Solution

The fourth proportional to 22,912, 31,620.48 and 12,842.80 is: 17,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,912 : 31,620.48 = 12,842.80 : x
  2. Step 2: Convert to fraction form
    22,912/31,620.48 = 12,842.80/x
  3. Step 3: Cross multiply
    22,912x = 31,620.48 × 12,842.80
  4. Step 4: Simplify right side
    22,912x = 406,095,500.54
  5. Step 5: Solve for x
    x = 406,095,500.54/22,912
  6. Step 6: Final answer
    x = 17,724.14

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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.