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Finding the Fourth Proportional to 5,769.77, 8,649.18 and 1,871.64

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Solution

The fourth proportional to 5,769.77, 8,649.18 and 1,871.64 is: 2,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.77 : 8,649.18 = 1,871.64 : x
  2. Step 2: Convert to fraction form
    5,769.77/8,649.18 = 1,871.64/x
  3. Step 3: Cross multiply
    5,769.77x = 8,649.18 × 1,871.64
  4. Step 4: Simplify right side
    5,769.77x = 16,188,151.26
  5. Step 5: Solve for x
    x = 16,188,151.26/5,769.77
  6. Step 6: Final answer
    x = 2,805.69

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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.