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Finding the Fourth Proportional to 4,650.30, 6,980.31 and 4,453.47

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Solution

The fourth proportional to 4,650.30, 6,980.31 and 4,453.47 is: 6,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.30 : 6,980.31 = 4,453.47 : x
  2. Step 2: Convert to fraction form
    4,650.30/6,980.31 = 4,453.47/x
  3. Step 3: Cross multiply
    4,650.30x = 6,980.31 × 4,453.47
  4. Step 4: Simplify right side
    4,650.30x = 31,086,601.18
  5. Step 5: Solve for x
    x = 31,086,601.18/4,650.30
  6. Step 6: Final answer
    x = 6,684.86

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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.