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Finding the Fourth Proportional to 18,256.48, 27,376 and 7,864

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Solution

The fourth proportional to 18,256.48, 27,376 and 7,864 is: 11,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,256.48 : 27,376 = 7,864 : x
  2. Step 2: Convert to fraction form
    18,256.48/27,376 = 7,864/x
  3. Step 3: Cross multiply
    18,256.48x = 27,376 × 7,864
  4. Step 4: Simplify right side
    18,256.48x = 215,284,864
  5. Step 5: Solve for x
    x = 215,284,864/18,256.48
  6. Step 6: Final answer
    x = 11,792.24

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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.