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Finding the Fourth Proportional to 27,606.78, 38,051.76 and 19,530

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Solution

The fourth proportional to 27,606.78, 38,051.76 and 19,530 is: 26,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,606.78 : 38,051.76 = 19,530 : x
  2. Step 2: Convert to fraction form
    27,606.78/38,051.76 = 19,530/x
  3. Step 3: Cross multiply
    27,606.78x = 38,051.76 × 19,530
  4. Step 4: Simplify right side
    27,606.78x = 743,150,872.80
  5. Step 5: Solve for x
    x = 743,150,872.80/27,606.78
  6. Step 6: Final answer
    x = 26,919.14

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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.