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Finding the Fourth Proportional to 13,504.69, 20,259.20 and 5,713.57

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Solution

The fourth proportional to 13,504.69, 20,259.20 and 5,713.57 is: 8,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.69 : 20,259.20 = 5,713.57 : x
  2. Step 2: Convert to fraction form
    13,504.69/20,259.20 = 5,713.57/x
  3. Step 3: Cross multiply
    13,504.69x = 20,259.20 × 5,713.57
  4. Step 4: Simplify right side
    13,504.69x = 115,752,357.34
  5. Step 5: Solve for x
    x = 115,752,357.34/13,504.69
  6. Step 6: Final answer
    x = 8,571.27

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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.