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Finding the Fourth Proportional to 13,947.80, 20,921.70 and 12,824.60

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Solution

The fourth proportional to 13,947.80, 20,921.70 and 12,824.60 is: 19,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947.80 : 20,921.70 = 12,824.60 : x
  2. Step 2: Convert to fraction form
    13,947.80/20,921.70 = 12,824.60/x
  3. Step 3: Cross multiply
    13,947.80x = 20,921.70 × 12,824.60
  4. Step 4: Simplify right side
    13,947.80x = 268,312,433.82
  5. Step 5: Solve for x
    x = 268,312,433.82/13,947.80
  6. Step 6: Final answer
    x = 19,236.90

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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.