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Finding the Fourth Proportional to 5,843.52, 8,064.16 and 3,190.96

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Solution

The fourth proportional to 5,843.52, 8,064.16 and 3,190.96 is: 4,403.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.52 : 8,064.16 = 3,190.96 : x
  2. Step 2: Convert to fraction form
    5,843.52/8,064.16 = 3,190.96/x
  3. Step 3: Cross multiply
    5,843.52x = 8,064.16 × 3,190.96
  4. Step 4: Simplify right side
    5,843.52x = 25,732,411.99
  5. Step 5: Solve for x
    x = 25,732,411.99/5,843.52
  6. Step 6: Final answer
    x = 4,403.58

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1.5x scale

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.