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Finding the Fourth Proportional to 5,257.56, 7,884.72 and 1,794

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Solution

The fourth proportional to 5,257.56, 7,884.72 and 1,794 is: 2,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.56 : 7,884.72 = 1,794 : x
  2. Step 2: Convert to fraction form
    5,257.56/7,884.72 = 1,794/x
  3. Step 3: Cross multiply
    5,257.56x = 7,884.72 × 1,794
  4. Step 4: Simplify right side
    5,257.56x = 14,145,187.68
  5. Step 5: Solve for x
    x = 14,145,187.68/5,257.56
  6. Step 6: Final answer
    x = 2,690.45

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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.