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Finding the Fourth Proportional to 11,695.81, 17,622.64 and 9,661.39

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Solution

The fourth proportional to 11,695.81, 17,622.64 and 9,661.39 is: 14,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.81 : 17,622.64 = 9,661.39 : x
  2. Step 2: Convert to fraction form
    11,695.81/17,622.64 = 9,661.39/x
  3. Step 3: Cross multiply
    11,695.81x = 17,622.64 × 9,661.39
  4. Step 4: Simplify right side
    11,695.81x = 170,259,197.87
  5. Step 5: Solve for x
    x = 170,259,197.87/11,695.81
  6. Step 6: Final answer
    x = 14,557.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.