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Finding the Fourth Proportional to 13,876.71, 20,813.72 and 7,634.67

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Solution

The fourth proportional to 13,876.71, 20,813.72 and 7,634.67 is: 11,451.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.71 : 20,813.72 = 7,634.67 : x
  2. Step 2: Convert to fraction form
    13,876.71/20,813.72 = 7,634.67/x
  3. Step 3: Cross multiply
    13,876.71x = 20,813.72 × 7,634.67
  4. Step 4: Simplify right side
    13,876.71x = 158,905,845.50
  5. Step 5: Solve for x
    x = 158,905,845.50/13,876.71
  6. Step 6: Final answer
    x = 11,451.26

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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.