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Finding the Fourth Proportional to 3,852, 5,778.72 and 1,254.24

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Solution

The fourth proportional to 3,852, 5,778.72 and 1,254.24 is: 1,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852 : 5,778.72 = 1,254.24 : x
  2. Step 2: Convert to fraction form
    3,852/5,778.72 = 1,254.24/x
  3. Step 3: Cross multiply
    3,852x = 5,778.72 × 1,254.24
  4. Step 4: Simplify right side
    3,852x = 7,247,901.77
  5. Step 5: Solve for x
    x = 7,247,901.77/3,852
  6. Step 6: Final answer
    x = 1,881.59

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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.