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Finding the Fourth Proportional to 36,976.68, 51,027.75 and 20,209.68

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Solution

The fourth proportional to 36,976.68, 51,027.75 and 20,209.68 is: 27,889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,976.68 : 51,027.75 = 20,209.68 : x
  2. Step 2: Convert to fraction form
    36,976.68/51,027.75 = 20,209.68/x
  3. Step 3: Cross multiply
    36,976.68x = 51,027.75 × 20,209.68
  4. Step 4: Simplify right side
    36,976.68x = 1,031,254,498.62
  5. Step 5: Solve for x
    x = 1,031,254,498.62/36,976.68
  6. Step 6: Final answer
    x = 27,889.32

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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.