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Finding the Fourth Proportional to 5,857.46, 8,786.20 and 2,158.08

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Solution

The fourth proportional to 5,857.46, 8,786.20 and 2,158.08 is: 3,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.46 : 8,786.20 = 2,158.08 : x
  2. Step 2: Convert to fraction form
    5,857.46/8,786.20 = 2,158.08/x
  3. Step 3: Cross multiply
    5,857.46x = 8,786.20 × 2,158.08
  4. Step 4: Simplify right side
    5,857.46x = 18,961,322.50
  5. Step 5: Solve for x
    x = 18,961,322.50/5,857.46
  6. Step 6: Final answer
    x = 3,237.12

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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.