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Finding the Fourth Proportional to 18,323.28, 27,478.29 and 7,794

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Solution

The fourth proportional to 18,323.28, 27,478.29 and 7,794 is: 11,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,323.28 : 27,478.29 = 7,794 : x
  2. Step 2: Convert to fraction form
    18,323.28/27,478.29 = 7,794/x
  3. Step 3: Cross multiply
    18,323.28x = 27,478.29 × 7,794
  4. Step 4: Simplify right side
    18,323.28x = 214,165,792.26
  5. Step 5: Solve for x
    x = 214,165,792.26/18,323.28
  6. Step 6: Final answer
    x = 11,688.18

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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.