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Finding the Fourth Proportional to 13,943.42, 20,879.48 and 7,696.50

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Solution

The fourth proportional to 13,943.42, 20,879.48 and 7,696.50 is: 11,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943.42 : 20,879.48 = 7,696.50 : x
  2. Step 2: Convert to fraction form
    13,943.42/20,879.48 = 7,696.50/x
  3. Step 3: Cross multiply
    13,943.42x = 20,879.48 × 7,696.50
  4. Step 4: Simplify right side
    13,943.42x = 160,698,854.62
  5. Step 5: Solve for x
    x = 160,698,854.62/13,943.42
  6. Step 6: Final answer
    x = 11,525.07

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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.