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Finding the Fourth Proportional to 27,272, 40,905.80 and 7,550.92

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Solution

The fourth proportional to 27,272, 40,905.80 and 7,550.92 is: 11,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,272 : 40,905.80 = 7,550.92 : x
  2. Step 2: Convert to fraction form
    27,272/40,905.80 = 7,550.92/x
  3. Step 3: Cross multiply
    27,272x = 40,905.80 × 7,550.92
  4. Step 4: Simplify right side
    27,272x = 308,876,423.34
  5. Step 5: Solve for x
    x = 308,876,423.34/27,272
  6. Step 6: Final answer
    x = 11,325.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.