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Finding the Fourth Proportional to 13,771.81, 20,659.08 and 4,409.48

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Solution

The fourth proportional to 13,771.81, 20,659.08 and 4,409.48 is: 6,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.81 : 20,659.08 = 4,409.48 : x
  2. Step 2: Convert to fraction form
    13,771.81/20,659.08 = 4,409.48/x
  3. Step 3: Cross multiply
    13,771.81x = 20,659.08 × 4,409.48
  4. Step 4: Simplify right side
    13,771.81x = 91,095,696.78
  5. Step 5: Solve for x
    x = 91,095,696.78/13,771.81
  6. Step 6: Final answer
    x = 6,614.65

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1.5x scale

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.