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Finding the Fourth Proportional to 13,911.96, 20,841.80 and 6,883.82

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Solution

The fourth proportional to 13,911.96, 20,841.80 and 6,883.82 is: 10,312.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.96 : 20,841.80 = 6,883.82 : x
  2. Step 2: Convert to fraction form
    13,911.96/20,841.80 = 6,883.82/x
  3. Step 3: Cross multiply
    13,911.96x = 20,841.80 × 6,883.82
  4. Step 4: Simplify right side
    13,911.96x = 143,471,061.05
  5. Step 5: Solve for x
    x = 143,471,061.05/13,911.96
  6. Step 6: Final answer
    x = 10,312.79

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1.5x scale

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.