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Finding the Fourth Proportional to 5,872, 8,103.36 and 3,389.44

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Solution

The fourth proportional to 5,872, 8,103.36 and 3,389.44 is: 4,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872 : 8,103.36 = 3,389.44 : x
  2. Step 2: Convert to fraction form
    5,872/8,103.36 = 3,389.44/x
  3. Step 3: Cross multiply
    5,872x = 8,103.36 × 3,389.44
  4. Step 4: Simplify right side
    5,872x = 27,465,852.52
  5. Step 5: Solve for x
    x = 27,465,852.52/5,872
  6. Step 6: Final answer
    x = 4,677.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.