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Finding the Fourth Proportional to 18,402.78, 27,601.20 and 5,252.09

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Solution

The fourth proportional to 18,402.78, 27,601.20 and 5,252.09 is: 7,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,402.78 : 27,601.20 = 5,252.09 : x
  2. Step 2: Convert to fraction form
    18,402.78/27,601.20 = 5,252.09/x
  3. Step 3: Cross multiply
    18,402.78x = 27,601.20 × 5,252.09
  4. Step 4: Simplify right side
    18,402.78x = 144,963,848.50
  5. Step 5: Solve for x
    x = 144,963,848.50/18,402.78
  6. Step 6: Final answer
    x = 7,877.28

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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.