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Finding the Fourth Proportional to 13,706, 20,558.98 and 3,317.74

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Solution

The fourth proportional to 13,706, 20,558.98 and 3,317.74 is: 4,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706 : 20,558.98 = 3,317.74 : x
  2. Step 2: Convert to fraction form
    13,706/20,558.98 = 3,317.74/x
  3. Step 3: Cross multiply
    13,706x = 20,558.98 × 3,317.74
  4. Step 4: Simplify right side
    13,706x = 68,209,350.31
  5. Step 5: Solve for x
    x = 68,209,350.31/13,706
  6. Step 6: Final answer
    x = 4,976.61

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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.