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Finding the Fourth Proportional to 36,410, 50,242.60 and 20,276.09

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Solution

The fourth proportional to 36,410, 50,242.60 and 20,276.09 is: 27,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,410 : 50,242.60 = 20,276.09 : x
  2. Step 2: Convert to fraction form
    36,410/50,242.60 = 20,276.09/x
  3. Step 3: Cross multiply
    36,410x = 50,242.60 × 20,276.09
  4. Step 4: Simplify right side
    36,410x = 1,018,723,479.43
  5. Step 5: Solve for x
    x = 1,018,723,479.43/36,410
  6. Step 6: Final answer
    x = 27,979.22

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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.