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Finding the Fourth Proportional to 9,643.11, 13,301.96 and 5,663.49

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Solution

The fourth proportional to 9,643.11, 13,301.96 and 5,663.49 is: 7,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.11 : 13,301.96 = 5,663.49 : x
  2. Step 2: Convert to fraction form
    9,643.11/13,301.96 = 5,663.49/x
  3. Step 3: Cross multiply
    9,643.11x = 13,301.96 × 5,663.49
  4. Step 4: Simplify right side
    9,643.11x = 75,335,489.12
  5. Step 5: Solve for x
    x = 75,335,489.12/9,643.11
  6. Step 6: Final answer
    x = 7,812.36

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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.