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Finding the Fourth Proportional to 13,218.80, 19,783.40 and 8,028.40

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Solution

The fourth proportional to 13,218.80, 19,783.40 and 8,028.40 is: 12,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.80 : 19,783.40 = 8,028.40 : x
  2. Step 2: Convert to fraction form
    13,218.80/19,783.40 = 8,028.40/x
  3. Step 3: Cross multiply
    13,218.80x = 19,783.40 × 8,028.40
  4. Step 4: Simplify right side
    13,218.80x = 158,829,048.56
  5. Step 5: Solve for x
    x = 158,829,048.56/13,218.80
  6. Step 6: Final answer
    x = 12,015.39

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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.