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Finding the Fourth Proportional to 6,379.86, 9,569.78 and 1,997.28

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Solution

The fourth proportional to 6,379.86, 9,569.78 and 1,997.28 is: 2,995.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.86 : 9,569.78 = 1,997.28 : x
  2. Step 2: Convert to fraction form
    6,379.86/9,569.78 = 1,997.28/x
  3. Step 3: Cross multiply
    6,379.86x = 9,569.78 × 1,997.28
  4. Step 4: Simplify right side
    6,379.86x = 19,113,530.20
  5. Step 5: Solve for x
    x = 19,113,530.20/6,379.86
  6. Step 6: Final answer
    x = 2,995.92

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1.5x scale

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.