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Finding the Fourth Proportional to 6,447.67, 8,901.67 and 4,213.29

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Solution

The fourth proportional to 6,447.67, 8,901.67 and 4,213.29 is: 5,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.67 : 8,901.67 = 4,213.29 : x
  2. Step 2: Convert to fraction form
    6,447.67/8,901.67 = 4,213.29/x
  3. Step 3: Cross multiply
    6,447.67x = 8,901.67 × 4,213.29
  4. Step 4: Simplify right side
    6,447.67x = 37,505,305.77
  5. Step 5: Solve for x
    x = 37,505,305.77/6,447.67
  6. Step 6: Final answer
    x = 5,816.87

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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.