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Finding the Fourth Proportional to 5,853.94, 8,784.59 and 2,157.91

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Solution

The fourth proportional to 5,853.94, 8,784.59 and 2,157.91 is: 3,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.94 : 8,784.59 = 2,157.91 : x
  2. Step 2: Convert to fraction form
    5,853.94/8,784.59 = 2,157.91/x
  3. Step 3: Cross multiply
    5,853.94x = 8,784.59 × 2,157.91
  4. Step 4: Simplify right side
    5,853.94x = 18,956,321.86
  5. Step 5: Solve for x
    x = 18,956,321.86/5,853.94
  6. Step 6: Final answer
    x = 3,238.22

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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.