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Finding the Fourth Proportional to 18,004, 27,005.92 and 4,857.68

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Solution

The fourth proportional to 18,004, 27,005.92 and 4,857.68 is: 7,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,004 : 27,005.92 = 4,857.68 : x
  2. Step 2: Convert to fraction form
    18,004/27,005.92 = 4,857.68/x
  3. Step 3: Cross multiply
    18,004x = 27,005.92 × 4,857.68
  4. Step 4: Simplify right side
    18,004x = 131,186,117.47
  5. Step 5: Solve for x
    x = 131,186,117.47/18,004
  6. Step 6: Final answer
    x = 7,286.50

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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.