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Finding the Fourth Proportional to 8,398.94, 12,589.14 and 3,465.87

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Solution

The fourth proportional to 8,398.94, 12,589.14 and 3,465.87 is: 5,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.94 : 12,589.14 = 3,465.87 : x
  2. Step 2: Convert to fraction form
    8,398.94/12,589.14 = 3,465.87/x
  3. Step 3: Cross multiply
    8,398.94x = 12,589.14 × 3,465.87
  4. Step 4: Simplify right side
    8,398.94x = 43,632,322.65
  5. Step 5: Solve for x
    x = 43,632,322.65/8,398.94
  6. Step 6: Final answer
    x = 5,194.98

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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.