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Finding the Fourth Proportional to 8,237.64, 12,356.48 and 3,858.20

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Solution

The fourth proportional to 8,237.64, 12,356.48 and 3,858.20 is: 5,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.64 : 12,356.48 = 3,858.20 : x
  2. Step 2: Convert to fraction form
    8,237.64/12,356.48 = 3,858.20/x
  3. Step 3: Cross multiply
    8,237.64x = 12,356.48 × 3,858.20
  4. Step 4: Simplify right side
    8,237.64x = 47,673,771.14
  5. Step 5: Solve for x
    x = 47,673,771.14/8,237.64
  6. Step 6: Final answer
    x = 5,787.31

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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.