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Finding the Fourth Proportional to 9,750.75, 13,458.44 and 5,561.43

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Solution

The fourth proportional to 9,750.75, 13,458.44 and 5,561.43 is: 7,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.75 : 13,458.44 = 5,561.43 : x
  2. Step 2: Convert to fraction form
    9,750.75/13,458.44 = 5,561.43/x
  3. Step 3: Cross multiply
    9,750.75x = 13,458.44 × 5,561.43
  4. Step 4: Simplify right side
    9,750.75x = 74,848,144.16
  5. Step 5: Solve for x
    x = 74,848,144.16/9,750.75
  6. Step 6: Final answer
    x = 7,676.14

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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.