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Finding the Fourth Proportional to 5,767.72, 8,649.76 and 1,871.32

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Solution

The fourth proportional to 5,767.72, 8,649.76 and 1,871.32 is: 2,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.72 : 8,649.76 = 1,871.32 : x
  2. Step 2: Convert to fraction form
    5,767.72/8,649.76 = 1,871.32/x
  3. Step 3: Cross multiply
    5,767.72x = 8,649.76 × 1,871.32
  4. Step 4: Simplify right side
    5,767.72x = 16,186,468.88
  5. Step 5: Solve for x
    x = 16,186,468.88/5,767.72
  6. Step 6: Final answer
    x = 2,806.39

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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.