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Finding the Fourth Proportional to 8,323.56, 11,483.91 and 7,694.19

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Solution

The fourth proportional to 8,323.56, 11,483.91 and 7,694.19 is: 10,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.56 : 11,483.91 = 7,694.19 : x
  2. Step 2: Convert to fraction form
    8,323.56/11,483.91 = 7,694.19/x
  3. Step 3: Cross multiply
    8,323.56x = 11,483.91 × 7,694.19
  4. Step 4: Simplify right side
    8,323.56x = 88,359,385.48
  5. Step 5: Solve for x
    x = 88,359,385.48/8,323.56
  6. Step 6: Final answer
    x = 10,615.58

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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.