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Finding the Fourth Proportional to 13,913.10, 20,871.95 and 6,893.44

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Solution

The fourth proportional to 13,913.10, 20,871.95 and 6,893.44 is: 10,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.10 : 20,871.95 = 6,893.44 : x
  2. Step 2: Convert to fraction form
    13,913.10/20,871.95 = 6,893.44/x
  3. Step 3: Cross multiply
    13,913.10x = 20,871.95 × 6,893.44
  4. Step 4: Simplify right side
    13,913.10x = 143,879,448.36
  5. Step 5: Solve for x
    x = 143,879,448.36/13,913.10
  6. Step 6: Final answer
    x = 10,341.29

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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.