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Finding the Fourth Proportional to 13,586.94, 20,373.93 and 5,791.50

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Solution

The fourth proportional to 13,586.94, 20,373.93 and 5,791.50 is: 8,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.94 : 20,373.93 = 5,791.50 : x
  2. Step 2: Convert to fraction form
    13,586.94/20,373.93 = 5,791.50/x
  3. Step 3: Cross multiply
    13,586.94x = 20,373.93 × 5,791.50
  4. Step 4: Simplify right side
    13,586.94x = 117,995,615.60
  5. Step 5: Solve for x
    x = 117,995,615.60/13,586.94
  6. Step 6: Final answer
    x = 8,684.49

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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.