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Finding the Fourth Proportional to 13,825.80, 20,726.94 and 6,028.80

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Solution

The fourth proportional to 13,825.80, 20,726.94 and 6,028.80 is: 9,038.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.80 : 20,726.94 = 6,028.80 : x
  2. Step 2: Convert to fraction form
    13,825.80/20,726.94 = 6,028.80/x
  3. Step 3: Cross multiply
    13,825.80x = 20,726.94 × 6,028.80
  4. Step 4: Simplify right side
    13,825.80x = 124,958,575.87
  5. Step 5: Solve for x
    x = 124,958,575.87/13,825.80
  6. Step 6: Final answer
    x = 9,038.07

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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.