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Finding the Fourth Proportional to 21,003.99, 31,508.42 and 6,965.25

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Solution

The fourth proportional to 21,003.99, 31,508.42 and 6,965.25 is: 10,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,003.99 : 31,508.42 = 6,965.25 : x
  2. Step 2: Convert to fraction form
    21,003.99/31,508.42 = 6,965.25/x
  3. Step 3: Cross multiply
    21,003.99x = 31,508.42 × 6,965.25
  4. Step 4: Simplify right side
    21,003.99x = 219,463,987.58
  5. Step 5: Solve for x
    x = 219,463,987.58/21,003.99
  6. Step 6: Final answer
    x = 10,448.68

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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.