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Finding the Fourth Proportional to 3,845.54, 5,764.90 and 1,503.90

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Solution

The fourth proportional to 3,845.54, 5,764.90 and 1,503.90 is: 2,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.54 : 5,764.90 = 1,503.90 : x
  2. Step 2: Convert to fraction form
    3,845.54/5,764.90 = 1,503.90/x
  3. Step 3: Cross multiply
    3,845.54x = 5,764.90 × 1,503.90
  4. Step 4: Simplify right side
    3,845.54x = 8,669,833.11
  5. Step 5: Solve for x
    x = 8,669,833.11/3,845.54
  6. Step 6: Final answer
    x = 2,254.52

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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.