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Finding the Fourth Proportional to 13,571.76, 20,363.82 and 6,994.56

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Solution

The fourth proportional to 13,571.76, 20,363.82 and 6,994.56 is: 10,495.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,571.76 : 20,363.82 = 6,994.56 : x
  2. Step 2: Convert to fraction form
    13,571.76/20,363.82 = 6,994.56/x
  3. Step 3: Cross multiply
    13,571.76x = 20,363.82 × 6,994.56
  4. Step 4: Simplify right side
    13,571.76x = 142,435,960.82
  5. Step 5: Solve for x
    x = 142,435,960.82/13,571.76
  6. Step 6: Final answer
    x = 10,495.03

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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.