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Finding the Fourth Proportional to 25,298, 37,947 and 6,830

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Solution

The fourth proportional to 25,298, 37,947 and 6,830 is: 10,245

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,298 : 37,947 = 6,830 : x
  2. Step 2: Convert to fraction form
    25,298/37,947 = 6,830/x
  3. Step 3: Cross multiply
    25,298x = 37,947 × 6,830
  4. Step 4: Simplify right side
    25,298x = 259,178,010
  5. Step 5: Solve for x
    x = 259,178,010/25,298
  6. Step 6: Final answer
    x = 10,245

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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.