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Finding the Fourth Proportional to 27,331, 40,995.78 and 7,608.76

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Solution

The fourth proportional to 27,331, 40,995.78 and 7,608.76 is: 11,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,331 : 40,995.78 = 7,608.76 : x
  2. Step 2: Convert to fraction form
    27,331/40,995.78 = 7,608.76/x
  3. Step 3: Cross multiply
    27,331x = 40,995.78 × 7,608.76
  4. Step 4: Simplify right side
    27,331x = 311,927,051.03
  5. Step 5: Solve for x
    x = 311,927,051.03/27,331
  6. Step 6: Final answer
    x = 11,412.94

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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.