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Finding the Fourth Proportional to 9,797.71, 13,521.13 and 5,321.75

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Solution

The fourth proportional to 9,797.71, 13,521.13 and 5,321.75 is: 7,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.71 : 13,521.13 = 5,321.75 : x
  2. Step 2: Convert to fraction form
    9,797.71/13,521.13 = 5,321.75/x
  3. Step 3: Cross multiply
    9,797.71x = 13,521.13 × 5,321.75
  4. Step 4: Simplify right side
    9,797.71x = 71,956,073.58
  5. Step 5: Solve for x
    x = 71,956,073.58/9,797.71
  6. Step 6: Final answer
    x = 7,344.17

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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.