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Finding the Fourth Proportional to 13,788.50, 20,689.16 and 5,893.43

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Solution

The fourth proportional to 13,788.50, 20,689.16 and 5,893.43 is: 8,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.50 : 20,689.16 = 5,893.43 : x
  2. Step 2: Convert to fraction form
    13,788.50/20,689.16 = 5,893.43/x
  3. Step 3: Cross multiply
    13,788.50x = 20,689.16 × 5,893.43
  4. Step 4: Simplify right side
    13,788.50x = 121,929,983.31
  5. Step 5: Solve for x
    x = 121,929,983.31/13,788.50
  6. Step 6: Final answer
    x = 8,842.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.