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Finding the Fourth Proportional to 13,893.89, 20,842.88 and 4,031.89

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Solution

The fourth proportional to 13,893.89, 20,842.88 and 4,031.89 is: 6,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.89 : 20,842.88 = 4,031.89 : x
  2. Step 2: Convert to fraction form
    13,893.89/20,842.88 = 4,031.89/x
  3. Step 3: Cross multiply
    13,893.89x = 20,842.88 × 4,031.89
  4. Step 4: Simplify right side
    13,893.89x = 84,036,095.23
  5. Step 5: Solve for x
    x = 84,036,095.23/13,893.89
  6. Step 6: Final answer
    x = 6,048.42

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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.