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Finding the Fourth Proportional to 4,786.29, 7,176.74 and 1,861.25

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Solution

The fourth proportional to 4,786.29, 7,176.74 and 1,861.25 is: 2,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.29 : 7,176.74 = 1,861.25 : x
  2. Step 2: Convert to fraction form
    4,786.29/7,176.74 = 1,861.25/x
  3. Step 3: Cross multiply
    4,786.29x = 7,176.74 × 1,861.25
  4. Step 4: Simplify right side
    4,786.29x = 13,357,662.14
  5. Step 5: Solve for x
    x = 13,357,662.14/4,786.29
  6. Step 6: Final answer
    x = 2,790.82

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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.