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Finding the Fourth Proportional to 4,640.55, 6,986.13 and 4,232.31

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Solution

The fourth proportional to 4,640.55, 6,986.13 and 4,232.31 is: 6,371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.55 : 6,986.13 = 4,232.31 : x
  2. Step 2: Convert to fraction form
    4,640.55/6,986.13 = 4,232.31/x
  3. Step 3: Cross multiply
    4,640.55x = 6,986.13 × 4,232.31
  4. Step 4: Simplify right side
    4,640.55x = 29,567,467.86
  5. Step 5: Solve for x
    x = 29,567,467.86/4,640.55
  6. Step 6: Final answer
    x = 6,371.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.