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Finding the Fourth Proportional to 19,997.50, 29,996.40 and 6,850

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Solution

The fourth proportional to 19,997.50, 29,996.40 and 6,850 is: 10,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997.50 : 29,996.40 = 6,850 : x
  2. Step 2: Convert to fraction form
    19,997.50/29,996.40 = 6,850/x
  3. Step 3: Cross multiply
    19,997.50x = 29,996.40 × 6,850
  4. Step 4: Simplify right side
    19,997.50x = 205,475,340
  5. Step 5: Solve for x
    x = 205,475,340/19,997.50
  6. Step 6: Final answer
    x = 10,275.05

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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.