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Finding the Fourth Proportional to 7,997.67, 11,999.97 and 4,295.58

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Solution

The fourth proportional to 7,997.67, 11,999.97 and 4,295.58 is: 6,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.67 : 11,999.97 = 4,295.58 : x
  2. Step 2: Convert to fraction form
    7,997.67/11,999.97 = 4,295.58/x
  3. Step 3: Cross multiply
    7,997.67x = 11,999.97 × 4,295.58
  4. Step 4: Simplify right side
    7,997.67x = 51,546,831.13
  5. Step 5: Solve for x
    x = 51,546,831.13/7,997.67
  6. Step 6: Final answer
    x = 6,445.23

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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.