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Finding the Fourth Proportional to 12,399.77, 17,114.63 and 7,097.64

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Solution

The fourth proportional to 12,399.77, 17,114.63 and 7,097.64 is: 9,796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.77 : 17,114.63 = 7,097.64 : x
  2. Step 2: Convert to fraction form
    12,399.77/17,114.63 = 7,097.64/x
  3. Step 3: Cross multiply
    12,399.77x = 17,114.63 × 7,097.64
  4. Step 4: Simplify right side
    12,399.77x = 121,473,446.99
  5. Step 5: Solve for x
    x = 121,473,446.99/12,399.77
  6. Step 6: Final answer
    x = 9,796.43

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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.