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Finding the Fourth Proportional to 8,243.86, 12,370.05 and 5,283.90

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Solution

The fourth proportional to 8,243.86, 12,370.05 and 5,283.90 is: 7,928.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.86 : 12,370.05 = 5,283.90 : x
  2. Step 2: Convert to fraction form
    8,243.86/12,370.05 = 5,283.90/x
  3. Step 3: Cross multiply
    8,243.86x = 12,370.05 × 5,283.90
  4. Step 4: Simplify right side
    8,243.86x = 65,362,107.20
  5. Step 5: Solve for x
    x = 65,362,107.20/8,243.86
  6. Step 6: Final answer
    x = 7,928.58

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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.