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Finding the Fourth Proportional to 13,722.89, 18,935.03 and 8,683.59

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Solution

The fourth proportional to 13,722.89, 18,935.03 and 8,683.59 is: 11,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.89 : 18,935.03 = 8,683.59 : x
  2. Step 2: Convert to fraction form
    13,722.89/18,935.03 = 8,683.59/x
  3. Step 3: Cross multiply
    13,722.89x = 18,935.03 × 8,683.59
  4. Step 4: Simplify right side
    13,722.89x = 164,423,993.74
  5. Step 5: Solve for x
    x = 164,423,993.74/13,722.89
  6. Step 6: Final answer
    x = 11,981.73

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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.