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Finding the Fourth Proportional to 9,716.40, 13,399.83 and 6,358.14

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Solution

The fourth proportional to 9,716.40, 13,399.83 and 6,358.14 is: 8,768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.40 : 13,399.83 = 6,358.14 : x
  2. Step 2: Convert to fraction form
    9,716.40/13,399.83 = 6,358.14/x
  3. Step 3: Cross multiply
    9,716.40x = 13,399.83 × 6,358.14
  4. Step 4: Simplify right side
    9,716.40x = 85,197,995.12
  5. Step 5: Solve for x
    x = 85,197,995.12/9,716.40
  6. Step 6: Final answer
    x = 8,768.47

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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.