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Finding the Fourth Proportional to 21,024.36, 31,531.07 and 6,229.31

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Solution

The fourth proportional to 21,024.36, 31,531.07 and 6,229.31 is: 9,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,024.36 : 31,531.07 = 6,229.31 : x
  2. Step 2: Convert to fraction form
    21,024.36/31,531.07 = 6,229.31/x
  3. Step 3: Cross multiply
    21,024.36x = 31,531.07 × 6,229.31
  4. Step 4: Simplify right side
    21,024.36x = 196,416,667.58
  5. Step 5: Solve for x
    x = 196,416,667.58/21,024.36
  6. Step 6: Final answer
    x = 9,342.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.