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Finding the Fourth Proportional to 13,658.85, 20,495.30 and 11,821.77

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Solution

The fourth proportional to 13,658.85, 20,495.30 and 11,821.77 is: 17,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.85 : 20,495.30 = 11,821.77 : x
  2. Step 2: Convert to fraction form
    13,658.85/20,495.30 = 11,821.77/x
  3. Step 3: Cross multiply
    13,658.85x = 20,495.30 × 11,821.77
  4. Step 4: Simplify right side
    13,658.85x = 242,290,722.68
  5. Step 5: Solve for x
    x = 242,290,722.68/13,658.85
  6. Step 6: Final answer
    x = 17,738.74

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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.