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Finding the Fourth Proportional to 37,151, 51,268.38 and 20,383.64

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Solution

The fourth proportional to 37,151, 51,268.38 and 20,383.64 is: 28,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,151 : 51,268.38 = 20,383.64 : x
  2. Step 2: Convert to fraction form
    37,151/51,268.38 = 20,383.64/x
  3. Step 3: Cross multiply
    37,151x = 51,268.38 × 20,383.64
  4. Step 4: Simplify right side
    37,151x = 1,045,036,201.30
  5. Step 5: Solve for x
    x = 1,045,036,201.30/37,151
  6. Step 6: Final answer
    x = 28,129.42

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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.