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Finding the Fourth Proportional to 18,228, 25,151.91 and 10,270.05

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Solution

The fourth proportional to 18,228, 25,151.91 and 10,270.05 is: 14,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,228 : 25,151.91 = 10,270.05 : x
  2. Step 2: Convert to fraction form
    18,228/25,151.91 = 10,270.05/x
  3. Step 3: Cross multiply
    18,228x = 25,151.91 × 10,270.05
  4. Step 4: Simplify right side
    18,228x = 258,311,373.30
  5. Step 5: Solve for x
    x = 258,311,373.30/18,228
  6. Step 6: Final answer
    x = 14,171.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.