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Finding the Fourth Proportional to 20,280.25, 27,986.75 and 11,448.25

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Solution

The fourth proportional to 20,280.25, 27,986.75 and 11,448.25 is: 15,798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,280.25 : 27,986.75 = 11,448.25 : x
  2. Step 2: Convert to fraction form
    20,280.25/27,986.75 = 11,448.25/x
  3. Step 3: Cross multiply
    20,280.25x = 27,986.75 × 11,448.25
  4. Step 4: Simplify right side
    20,280.25x = 320,399,310.69
  5. Step 5: Solve for x
    x = 320,399,310.69/20,280.25
  6. Step 6: Final answer
    x = 15,798.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.