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Finding the Fourth Proportional to 7,003.09, 9,664.26 and 3,859.28

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Solution

The fourth proportional to 7,003.09, 9,664.26 and 3,859.28 is: 5,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.09 : 9,664.26 = 3,859.28 : x
  2. Step 2: Convert to fraction form
    7,003.09/9,664.26 = 3,859.28/x
  3. Step 3: Cross multiply
    7,003.09x = 9,664.26 × 3,859.28
  4. Step 4: Simplify right side
    7,003.09x = 37,297,037.01
  5. Step 5: Solve for x
    x = 37,297,037.01/7,003.09
  6. Step 6: Final answer
    x = 5,325.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.