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Finding the Fourth Proportional to 9,967.75, 13,755.51 and 5,778.43

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Solution

The fourth proportional to 9,967.75, 13,755.51 and 5,778.43 is: 7,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.75 : 13,755.51 = 5,778.43 : x
  2. Step 2: Convert to fraction form
    9,967.75/13,755.51 = 5,778.43/x
  3. Step 3: Cross multiply
    9,967.75x = 13,755.51 × 5,778.43
  4. Step 4: Simplify right side
    9,967.75x = 79,485,222.76
  5. Step 5: Solve for x
    x = 79,485,222.76/9,967.75
  6. Step 6: Final answer
    x = 7,974.24

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