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Finding the Fourth Proportional to 6,101, 9,151.50 and 1,997

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Solution

The fourth proportional to 6,101, 9,151.50 and 1,997 is: 2,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101 : 9,151.50 = 1,997 : x
  2. Step 2: Convert to fraction form
    6,101/9,151.50 = 1,997/x
  3. Step 3: Cross multiply
    6,101x = 9,151.50 × 1,997
  4. Step 4: Simplify right side
    6,101x = 18,275,545.50
  5. Step 5: Solve for x
    x = 18,275,545.50/6,101
  6. Step 6: Final answer
    x = 2,995.50

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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.