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Finding the Fourth Proportional to 37,786.20, 56,781.60 and 20,268.60

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Solution

The fourth proportional to 37,786.20, 56,781.60 and 20,268.60 is: 30,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,786.20 : 56,781.60 = 20,268.60 : x
  2. Step 2: Convert to fraction form
    37,786.20/56,781.60 = 20,268.60/x
  3. Step 3: Cross multiply
    37,786.20x = 56,781.60 × 20,268.60
  4. Step 4: Simplify right side
    37,786.20x = 1,150,883,537.76
  5. Step 5: Solve for x
    x = 1,150,883,537.76/37,786.20
  6. Step 6: Final answer
    x = 30,457.77

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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.