Home / 13,770.24-20,628.80-8,228.02

Finding the Fourth Proportional to 13,770.24, 20,628.80 and 8,228.02

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Solution

The fourth proportional to 13,770.24, 20,628.80 and 8,228.02 is: 12,326.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.24 : 20,628.80 = 8,228.02 : x
  2. Step 2: Convert to fraction form
    13,770.24/20,628.80 = 8,228.02/x
  3. Step 3: Cross multiply
    13,770.24x = 20,628.80 × 8,228.02
  4. Step 4: Simplify right side
    13,770.24x = 169,734,178.98
  5. Step 5: Solve for x
    x = 169,734,178.98/13,770.24
  6. Step 6: Final answer
    x = 12,326.16

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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.