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Finding the Fourth Proportional to 6,398.56, 9,589.76 and 3,429.64

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Solution

The fourth proportional to 6,398.56, 9,589.76 and 3,429.64 is: 5,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.56 : 9,589.76 = 3,429.64 : x
  2. Step 2: Convert to fraction form
    6,398.56/9,589.76 = 3,429.64/x
  3. Step 3: Cross multiply
    6,398.56x = 9,589.76 × 3,429.64
  4. Step 4: Simplify right side
    6,398.56x = 32,889,424.49
  5. Step 5: Solve for x
    x = 32,889,424.49/6,398.56
  6. Step 6: Final answer
    x = 5,140.13

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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.