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Finding the Fourth Proportional to 6,314.39, 9,471.31 and 3,398.39

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Solution

The fourth proportional to 6,314.39, 9,471.31 and 3,398.39 is: 5,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.39 : 9,471.31 = 3,398.39 : x
  2. Step 2: Convert to fraction form
    6,314.39/9,471.31 = 3,398.39/x
  3. Step 3: Cross multiply
    6,314.39x = 9,471.31 × 3,398.39
  4. Step 4: Simplify right side
    6,314.39x = 32,187,140.84
  5. Step 5: Solve for x
    x = 32,187,140.84/6,314.39
  6. Step 6: Final answer
    x = 5,097.43

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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.