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Finding the Fourth Proportional to 4,641.70, 6,997.22 and 4,247.64

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Solution

The fourth proportional to 4,641.70, 6,997.22 and 4,247.64 is: 6,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.70 : 6,997.22 = 4,247.64 : x
  2. Step 2: Convert to fraction form
    4,641.70/6,997.22 = 4,247.64/x
  3. Step 3: Cross multiply
    4,641.70x = 6,997.22 × 4,247.64
  4. Step 4: Simplify right side
    4,641.70x = 29,721,671.56
  5. Step 5: Solve for x
    x = 29,721,671.56/4,641.70
  6. Step 6: Final answer
    x = 6,403.19

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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.