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Finding the Fourth Proportional to 5,640.80, 7,786.48 and 5,050.31

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Solution

The fourth proportional to 5,640.80, 7,786.48 and 5,050.31 is: 6,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.80 : 7,786.48 = 5,050.31 : x
  2. Step 2: Convert to fraction form
    5,640.80/7,786.48 = 5,050.31/x
  3. Step 3: Cross multiply
    5,640.80x = 7,786.48 × 5,050.31
  4. Step 4: Simplify right side
    5,640.80x = 39,324,086.25
  5. Step 5: Solve for x
    x = 39,324,086.25/5,640.80
  6. Step 6: Final answer
    x = 6,971.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.