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Finding the Fourth Proportional to 3,811.52, 5,717.62 and 1,038.21

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Solution

The fourth proportional to 3,811.52, 5,717.62 and 1,038.21 is: 1,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.52 : 5,717.62 = 1,038.21 : x
  2. Step 2: Convert to fraction form
    3,811.52/5,717.62 = 1,038.21/x
  3. Step 3: Cross multiply
    3,811.52x = 5,717.62 × 1,038.21
  4. Step 4: Simplify right side
    3,811.52x = 5,936,090.26
  5. Step 5: Solve for x
    x = 5,936,090.26/3,811.52
  6. Step 6: Final answer
    x = 1,557.41

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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.