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Finding the Fourth Proportional to 5,787.21, 7,978.41 and 3,661.68

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Solution

The fourth proportional to 5,787.21, 7,978.41 and 3,661.68 is: 5,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.21 : 7,978.41 = 3,661.68 : x
  2. Step 2: Convert to fraction form
    5,787.21/7,978.41 = 3,661.68/x
  3. Step 3: Cross multiply
    5,787.21x = 7,978.41 × 3,661.68
  4. Step 4: Simplify right side
    5,787.21x = 29,214,384.33
  5. Step 5: Solve for x
    x = 29,214,384.33/5,787.21
  6. Step 6: Final answer
    x = 5,048.09

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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.