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Finding the Fourth Proportional to 5,855.94, 8,786.46 and 2,157.30

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Solution

The fourth proportional to 5,855.94, 8,786.46 and 2,157.30 is: 3,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.94 : 8,786.46 = 2,157.30 : x
  2. Step 2: Convert to fraction form
    5,855.94/8,786.46 = 2,157.30/x
  3. Step 3: Cross multiply
    5,855.94x = 8,786.46 × 2,157.30
  4. Step 4: Simplify right side
    5,855.94x = 18,955,030.16
  5. Step 5: Solve for x
    x = 18,955,030.16/5,855.94
  6. Step 6: Final answer
    x = 3,236.89

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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.