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Finding the Fourth Proportional to 27,102.63, 40,653.71 and 21,184.49

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Solution

The fourth proportional to 27,102.63, 40,653.71 and 21,184.49 is: 31,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.63 : 40,653.71 = 21,184.49 : x
  2. Step 2: Convert to fraction form
    27,102.63/40,653.71 = 21,184.49/x
  3. Step 3: Cross multiply
    27,102.63x = 40,653.71 × 21,184.49
  4. Step 4: Simplify right side
    27,102.63x = 861,228,007.04
  5. Step 5: Solve for x
    x = 861,228,007.04/27,102.63
  6. Step 6: Final answer
    x = 31,776.55

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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.