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Finding the Fourth Proportional to 13,114.60, 19,672.86 and 5,321.32

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Solution

The fourth proportional to 13,114.60, 19,672.86 and 5,321.32 is: 7,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.60 : 19,672.86 = 5,321.32 : x
  2. Step 2: Convert to fraction form
    13,114.60/19,672.86 = 5,321.32/x
  3. Step 3: Cross multiply
    13,114.60x = 19,672.86 × 5,321.32
  4. Step 4: Simplify right side
    13,114.60x = 104,685,583.38
  5. Step 5: Solve for x
    x = 104,685,583.38/13,114.60
  6. Step 6: Final answer
    x = 7,982.37

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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.