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Finding the Fourth Proportional to 18,967.38, 28,462.95 and 7,281.78

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Solution

The fourth proportional to 18,967.38, 28,462.95 and 7,281.78 is: 10,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,967.38 : 28,462.95 = 7,281.78 : x
  2. Step 2: Convert to fraction form
    18,967.38/28,462.95 = 7,281.78/x
  3. Step 3: Cross multiply
    18,967.38x = 28,462.95 × 7,281.78
  4. Step 4: Simplify right side
    18,967.38x = 207,260,940.05
  5. Step 5: Solve for x
    x = 207,260,940.05/18,967.38
  6. Step 6: Final answer
    x = 10,927.23

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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.