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Finding the Fourth Proportional to 36,947, 50,987.13 and 20,180

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Solution

The fourth proportional to 36,947, 50,987.13 and 20,180 is: 27,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,947 : 50,987.13 = 20,180 : x
  2. Step 2: Convert to fraction form
    36,947/50,987.13 = 20,180/x
  3. Step 3: Cross multiply
    36,947x = 50,987.13 × 20,180
  4. Step 4: Simplify right side
    36,947x = 1,028,920,283.40
  5. Step 5: Solve for x
    x = 1,028,920,283.40/36,947
  6. Step 6: Final answer
    x = 27,848.55

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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.