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Finding the Fourth Proportional to 18,822, 28,240.68 and 7,138.80

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Solution

The fourth proportional to 18,822, 28,240.68 and 7,138.80 is: 10,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,822 : 28,240.68 = 7,138.80 : x
  2. Step 2: Convert to fraction form
    18,822/28,240.68 = 7,138.80/x
  3. Step 3: Cross multiply
    18,822x = 28,240.68 × 7,138.80
  4. Step 4: Simplify right side
    18,822x = 201,604,566.38
  5. Step 5: Solve for x
    x = 201,604,566.38/18,822
  6. Step 6: Final answer
    x = 10,711.11

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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.