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Finding the Fourth Proportional to 8,388.94, 12,583.26 and 2,148.90

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Solution

The fourth proportional to 8,388.94, 12,583.26 and 2,148.90 is: 3,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.94 : 12,583.26 = 2,148.90 : x
  2. Step 2: Convert to fraction form
    8,388.94/12,583.26 = 2,148.90/x
  3. Step 3: Cross multiply
    8,388.94x = 12,583.26 × 2,148.90
  4. Step 4: Simplify right side
    8,388.94x = 27,040,167.41
  5. Step 5: Solve for x
    x = 27,040,167.41/8,388.94
  6. Step 6: Final answer
    x = 3,223.31

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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.