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Finding the Fourth Proportional to 5,157.80, 7,745.34 and 2,853.80

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Solution

The fourth proportional to 5,157.80, 7,745.34 and 2,853.80 is: 4,285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.80 : 7,745.34 = 2,853.80 : x
  2. Step 2: Convert to fraction form
    5,157.80/7,745.34 = 2,853.80/x
  3. Step 3: Cross multiply
    5,157.80x = 7,745.34 × 2,853.80
  4. Step 4: Simplify right side
    5,157.80x = 22,103,651.29
  5. Step 5: Solve for x
    x = 22,103,651.29/5,157.80
  6. Step 6: Final answer
    x = 4,285.48

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1.5x scale

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.