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Finding the Fourth Proportional to 8,682.96, 13,013.20 and 5,561.76

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Solution

The fourth proportional to 8,682.96, 13,013.20 and 5,561.76 is: 8,335.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.96 : 13,013.20 = 5,561.76 : x
  2. Step 2: Convert to fraction form
    8,682.96/13,013.20 = 5,561.76/x
  3. Step 3: Cross multiply
    8,682.96x = 13,013.20 × 5,561.76
  4. Step 4: Simplify right side
    8,682.96x = 72,376,295.23
  5. Step 5: Solve for x
    x = 72,376,295.23/8,682.96
  6. Step 6: Final answer
    x = 8,335.44

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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.