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Finding the Fourth Proportional to 8,433.92, 12,649.84 and 3,754

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Solution

The fourth proportional to 8,433.92, 12,649.84 and 3,754 is: 5,630.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.92 : 12,649.84 = 3,754 : x
  2. Step 2: Convert to fraction form
    8,433.92/12,649.84 = 3,754/x
  3. Step 3: Cross multiply
    8,433.92x = 12,649.84 × 3,754
  4. Step 4: Simplify right side
    8,433.92x = 47,487,499.36
  5. Step 5: Solve for x
    x = 47,487,499.36/8,433.92
  6. Step 6: Final answer
    x = 5,630.54

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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.