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Finding the Fourth Proportional to 18,200, 27,303.84 and 7,256

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Solution

The fourth proportional to 18,200, 27,303.84 and 7,256 is: 10,885.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200 : 27,303.84 = 7,256 : x
  2. Step 2: Convert to fraction form
    18,200/27,303.84 = 7,256/x
  3. Step 3: Cross multiply
    18,200x = 27,303.84 × 7,256
  4. Step 4: Simplify right side
    18,200x = 198,116,663.04
  5. Step 5: Solve for x
    x = 198,116,663.04/18,200
  6. Step 6: Final answer
    x = 10,885.53

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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.