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Finding the Fourth Proportional to 18,613, 27,919.50 and 4,762

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Solution

The fourth proportional to 18,613, 27,919.50 and 4,762 is: 7,143

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,613 : 27,919.50 = 4,762 : x
  2. Step 2: Convert to fraction form
    18,613/27,919.50 = 4,762/x
  3. Step 3: Cross multiply
    18,613x = 27,919.50 × 4,762
  4. Step 4: Simplify right side
    18,613x = 132,952,659
  5. Step 5: Solve for x
    x = 132,952,659/18,613
  6. Step 6: Final answer
    x = 7,143

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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.