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Finding the Fourth Proportional to 3,889.61, 5,829.51 and 2,777.27

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Solution

The fourth proportional to 3,889.61, 5,829.51 and 2,777.27 is: 4,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.61 : 5,829.51 = 2,777.27 : x
  2. Step 2: Convert to fraction form
    3,889.61/5,829.51 = 2,777.27/x
  3. Step 3: Cross multiply
    3,889.61x = 5,829.51 × 2,777.27
  4. Step 4: Simplify right side
    3,889.61x = 16,190,123.24
  5. Step 5: Solve for x
    x = 16,190,123.24/3,889.61
  6. Step 6: Final answer
    x = 4,162.41

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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.