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Finding the Fourth Proportional to 21,954, 32,931 and 6,372.03

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Solution

The fourth proportional to 21,954, 32,931 and 6,372.03 is: 9,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954 : 32,931 = 6,372.03 : x
  2. Step 2: Convert to fraction form
    21,954/32,931 = 6,372.03/x
  3. Step 3: Cross multiply
    21,954x = 32,931 × 6,372.03
  4. Step 4: Simplify right side
    21,954x = 209,837,319.93
  5. Step 5: Solve for x
    x = 209,837,319.93/21,954
  6. Step 6: Final answer
    x = 9,558.05

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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.