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Finding the Fourth Proportional to 13,893.66, 20,841.42 and 5,129.16

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Solution

The fourth proportional to 13,893.66, 20,841.42 and 5,129.16 is: 7,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.66 : 20,841.42 = 5,129.16 : x
  2. Step 2: Convert to fraction form
    13,893.66/20,841.42 = 5,129.16/x
  3. Step 3: Cross multiply
    13,893.66x = 20,841.42 × 5,129.16
  4. Step 4: Simplify right side
    13,893.66x = 106,898,977.81
  5. Step 5: Solve for x
    x = 106,898,977.81/13,893.66
  6. Step 6: Final answer
    x = 7,694.08

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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.