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Finding the Fourth Proportional to 10,198, 15,294.19 and 2,800.70

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Solution

The fourth proportional to 10,198, 15,294.19 and 2,800.70 is: 4,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198 : 15,294.19 = 2,800.70 : x
  2. Step 2: Convert to fraction form
    10,198/15,294.19 = 2,800.70/x
  3. Step 3: Cross multiply
    10,198x = 15,294.19 × 2,800.70
  4. Step 4: Simplify right side
    10,198x = 42,834,437.93
  5. Step 5: Solve for x
    x = 42,834,437.93/10,198
  6. Step 6: Final answer
    x = 4,200.28

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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.