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Finding the Fourth Proportional to 13,580, 20,378.64 and 5,372

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Solution

The fourth proportional to 13,580, 20,378.64 and 5,372 is: 8,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580 : 20,378.64 = 5,372 : x
  2. Step 2: Convert to fraction form
    13,580/20,378.64 = 5,372/x
  3. Step 3: Cross multiply
    13,580x = 20,378.64 × 5,372
  4. Step 4: Simplify right side
    13,580x = 109,474,054.08
  5. Step 5: Solve for x
    x = 109,474,054.08/13,580
  6. Step 6: Final answer
    x = 8,061.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.