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Finding the Fourth Proportional to 18,222.57, 27,333.86 and 7,834.32

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Solution

The fourth proportional to 18,222.57, 27,333.86 and 7,834.32 is: 11,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,222.57 : 27,333.86 = 7,834.32 : x
  2. Step 2: Convert to fraction form
    18,222.57/27,333.86 = 7,834.32/x
  3. Step 3: Cross multiply
    18,222.57x = 27,333.86 × 7,834.32
  4. Step 4: Simplify right side
    18,222.57x = 214,142,166.90
  5. Step 5: Solve for x
    x = 214,142,166.90/18,222.57
  6. Step 6: Final answer
    x = 11,751.48

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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.