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Finding the Fourth Proportional to 9,968.12, 13,752.96 and 5,775.56

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Solution

The fourth proportional to 9,968.12, 13,752.96 and 5,775.56 is: 7,968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,968.12 : 13,752.96 = 5,775.56 : x
  2. Step 2: Convert to fraction form
    9,968.12/13,752.96 = 5,775.56/x
  3. Step 3: Cross multiply
    9,968.12x = 13,752.96 × 5,775.56
  4. Step 4: Simplify right side
    9,968.12x = 79,431,045.66
  5. Step 5: Solve for x
    x = 79,431,045.66/9,968.12
  6. Step 6: Final answer
    x = 7,968.51

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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.