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Finding the Fourth Proportional to 13,706.39, 18,914.90 and 7,418.77

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Solution

The fourth proportional to 13,706.39, 18,914.90 and 7,418.77 is: 10,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.39 : 18,914.90 = 7,418.77 : x
  2. Step 2: Convert to fraction form
    13,706.39/18,914.90 = 7,418.77/x
  3. Step 3: Cross multiply
    13,706.39x = 18,914.90 × 7,418.77
  4. Step 4: Simplify right side
    13,706.39x = 140,325,292.67
  5. Step 5: Solve for x
    x = 140,325,292.67/13,706.39
  6. Step 6: Final answer
    x = 10,237.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.