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Finding the Fourth Proportional to 8,405.94, 12,603.07 and 3,723.41

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Solution

The fourth proportional to 8,405.94, 12,603.07 and 3,723.41 is: 5,582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.94 : 12,603.07 = 3,723.41 : x
  2. Step 2: Convert to fraction form
    8,405.94/12,603.07 = 3,723.41/x
  3. Step 3: Cross multiply
    8,405.94x = 12,603.07 × 3,723.41
  4. Step 4: Simplify right side
    8,405.94x = 46,926,396.87
  5. Step 5: Solve for x
    x = 46,926,396.87/8,405.94
  6. Step 6: Final answer
    x = 5,582.53

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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.