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Finding the Fourth Proportional to 9,292.71, 12,828.92 and 7,163.58

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Solution

The fourth proportional to 9,292.71, 12,828.92 and 7,163.58 is: 9,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.71 : 12,828.92 = 7,163.58 : x
  2. Step 2: Convert to fraction form
    9,292.71/12,828.92 = 7,163.58/x
  3. Step 3: Cross multiply
    9,292.71x = 12,828.92 × 7,163.58
  4. Step 4: Simplify right side
    9,292.71x = 91,900,958.92
  5. Step 5: Solve for x
    x = 91,900,958.92/9,292.71
  6. Step 6: Final answer
    x = 9,889.58

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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.