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Finding the Fourth Proportional to 28,666, 43,000.62 and 10,198

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Solution

The fourth proportional to 28,666, 43,000.62 and 10,198 is: 15,297.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,666 : 43,000.62 = 10,198 : x
  2. Step 2: Convert to fraction form
    28,666/43,000.62 = 10,198/x
  3. Step 3: Cross multiply
    28,666x = 43,000.62 × 10,198
  4. Step 4: Simplify right side
    28,666x = 438,520,322.76
  5. Step 5: Solve for x
    x = 438,520,322.76/28,666
  6. Step 6: Final answer
    x = 15,297.58

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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.