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Finding the Fourth Proportional to 13,580, 20,373.96 and 5,789.60

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Solution

The fourth proportional to 13,580, 20,373.96 and 5,789.60 is: 8,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580 : 20,373.96 = 5,789.60 : x
  2. Step 2: Convert to fraction form
    13,580/20,373.96 = 5,789.60/x
  3. Step 3: Cross multiply
    13,580x = 20,373.96 × 5,789.60
  4. Step 4: Simplify right side
    13,580x = 117,957,078.82
  5. Step 5: Solve for x
    x = 117,957,078.82/13,580
  6. Step 6: Final answer
    x = 8,686.09

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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.