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Finding the Fourth Proportional to 13,858.88, 20,788.34 and 3,470.63

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Solution

The fourth proportional to 13,858.88, 20,788.34 and 3,470.63 is: 5,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.88 : 20,788.34 = 3,470.63 : x
  2. Step 2: Convert to fraction form
    13,858.88/20,788.34 = 3,470.63/x
  3. Step 3: Cross multiply
    13,858.88x = 20,788.34 × 3,470.63
  4. Step 4: Simplify right side
    13,858.88x = 72,148,515.16
  5. Step 5: Solve for x
    x = 72,148,515.16/13,858.88
  6. Step 6: Final answer
    x = 5,205.94

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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.