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Finding the Fourth Proportional to 13,181, 19,771.52 and 5,389.80

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Solution

The fourth proportional to 13,181, 19,771.52 and 5,389.80 is: 8,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181 : 19,771.52 = 5,389.80 : x
  2. Step 2: Convert to fraction form
    13,181/19,771.52 = 5,389.80/x
  3. Step 3: Cross multiply
    13,181x = 19,771.52 × 5,389.80
  4. Step 4: Simplify right side
    13,181x = 106,564,538.50
  5. Step 5: Solve for x
    x = 106,564,538.50/13,181
  6. Step 6: Final answer
    x = 8,084.71

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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.