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Finding the Fourth Proportional to 18,292.34, 27,439.68 and 7,904

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Solution

The fourth proportional to 18,292.34, 27,439.68 and 7,904 is: 11,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,292.34 : 27,439.68 = 7,904 : x
  2. Step 2: Convert to fraction form
    18,292.34/27,439.68 = 7,904/x
  3. Step 3: Cross multiply
    18,292.34x = 27,439.68 × 7,904
  4. Step 4: Simplify right side
    18,292.34x = 216,883,230.72
  5. Step 5: Solve for x
    x = 216,883,230.72/18,292.34
  6. Step 6: Final answer
    x = 11,856.51

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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.