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Finding the Fourth Proportional to 18,600, 27,900 and 4,749.12

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Solution

The fourth proportional to 18,600, 27,900 and 4,749.12 is: 7,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,600 : 27,900 = 4,749.12 : x
  2. Step 2: Convert to fraction form
    18,600/27,900 = 4,749.12/x
  3. Step 3: Cross multiply
    18,600x = 27,900 × 4,749.12
  4. Step 4: Simplify right side
    18,600x = 132,500,448
  5. Step 5: Solve for x
    x = 132,500,448/18,600
  6. Step 6: Final answer
    x = 7,123.68

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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.