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Finding the Fourth Proportional to 9,964.89, 13,749.53 and 7,574.22

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Solution

The fourth proportional to 9,964.89, 13,749.53 and 7,574.22 is: 10,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.89 : 13,749.53 = 7,574.22 : x
  2. Step 2: Convert to fraction form
    9,964.89/13,749.53 = 7,574.22/x
  3. Step 3: Cross multiply
    9,964.89x = 13,749.53 × 7,574.22
  4. Step 4: Simplify right side
    9,964.89x = 104,142,007.21
  5. Step 5: Solve for x
    x = 104,142,007.21/9,964.89
  6. Step 6: Final answer
    x = 10,450.89

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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.