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Finding the Fourth Proportional to 19,298, 28,949.64 and 6,815.12

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Solution

The fourth proportional to 19,298, 28,949.64 and 6,815.12 is: 10,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298 : 28,949.64 = 6,815.12 : x
  2. Step 2: Convert to fraction form
    19,298/28,949.64 = 6,815.12/x
  3. Step 3: Cross multiply
    19,298x = 28,949.64 × 6,815.12
  4. Step 4: Simplify right side
    19,298x = 197,295,270.56
  5. Step 5: Solve for x
    x = 197,295,270.56/19,298
  6. Step 6: Final answer
    x = 10,223.61

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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.