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Finding the Fourth Proportional to 4,986.72, 7,471.26 and 4,690.42

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Solution

The fourth proportional to 4,986.72, 7,471.26 and 4,690.42 is: 7,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.72 : 7,471.26 = 4,690.42 : x
  2. Step 2: Convert to fraction form
    4,986.72/7,471.26 = 4,690.42/x
  3. Step 3: Cross multiply
    4,986.72x = 7,471.26 × 4,690.42
  4. Step 4: Simplify right side
    4,986.72x = 35,043,328.65
  5. Step 5: Solve for x
    x = 35,043,328.65/4,986.72
  6. Step 6: Final answer
    x = 7,027.33

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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.