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Finding the Fourth Proportional to 11,643.92, 17,450.30 and 5,711.72

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Solution

The fourth proportional to 11,643.92, 17,450.30 and 5,711.72 is: 8,559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.92 : 17,450.30 = 5,711.72 : x
  2. Step 2: Convert to fraction form
    11,643.92/17,450.30 = 5,711.72/x
  3. Step 3: Cross multiply
    11,643.92x = 17,450.30 × 5,711.72
  4. Step 4: Simplify right side
    11,643.92x = 99,671,227.52
  5. Step 5: Solve for x
    x = 99,671,227.52/11,643.92
  6. Step 6: Final answer
    x = 8,559.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.