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Finding the Fourth Proportional to 5,661.69, 8,489.20 and 1,711.77

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Solution

The fourth proportional to 5,661.69, 8,489.20 and 1,711.77 is: 2,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.69 : 8,489.20 = 1,711.77 : x
  2. Step 2: Convert to fraction form
    5,661.69/8,489.20 = 1,711.77/x
  3. Step 3: Cross multiply
    5,661.69x = 8,489.20 × 1,711.77
  4. Step 4: Simplify right side
    5,661.69x = 14,531,557.88
  5. Step 5: Solve for x
    x = 14,531,557.88/5,661.69
  6. Step 6: Final answer
    x = 2,566.65

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Why These Related Problems?

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