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Finding the Fourth Proportional to 21,168.75, 31,753.13 and 7,317.75

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Solution

The fourth proportional to 21,168.75, 31,753.13 and 7,317.75 is: 10,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,168.75 : 31,753.13 = 7,317.75 : x
  2. Step 2: Convert to fraction form
    21,168.75/31,753.13 = 7,317.75/x
  3. Step 3: Cross multiply
    21,168.75x = 31,753.13 × 7,317.75
  4. Step 4: Simplify right side
    21,168.75x = 232,361,467.06
  5. Step 5: Solve for x
    x = 232,361,467.06/21,168.75
  6. Step 6: Final answer
    x = 10,976.63

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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.