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Finding the Fourth Proportional to 5,706.72, 8,561.39 and 2,419.92

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Solution

The fourth proportional to 5,706.72, 8,561.39 and 2,419.92 is: 3,630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.72 : 8,561.39 = 2,419.92 : x
  2. Step 2: Convert to fraction form
    5,706.72/8,561.39 = 2,419.92/x
  3. Step 3: Cross multiply
    5,706.72x = 8,561.39 × 2,419.92
  4. Step 4: Simplify right side
    5,706.72x = 20,717,866.79
  5. Step 5: Solve for x
    x = 20,717,866.79/5,706.72
  6. Step 6: Final answer
    x = 3,630.43

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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.