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Finding the Fourth Proportional to 18,214.72, 27,323.72 and 7,824.04

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Solution

The fourth proportional to 18,214.72, 27,323.72 and 7,824.04 is: 11,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.72 : 27,323.72 = 7,824.04 : x
  2. Step 2: Convert to fraction form
    18,214.72/27,323.72 = 7,824.04/x
  3. Step 3: Cross multiply
    18,214.72x = 27,323.72 × 7,824.04
  4. Step 4: Simplify right side
    18,214.72x = 213,781,878.23
  5. Step 5: Solve for x
    x = 213,781,878.23/18,214.72
  6. Step 6: Final answer
    x = 11,736.76

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1.5x scale

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.