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Finding the Fourth Proportional to 36,738, 50,698.80 and 19,971.36

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Solution

The fourth proportional to 36,738, 50,698.80 and 19,971.36 is: 27,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,738 : 50,698.80 = 19,971.36 : x
  2. Step 2: Convert to fraction form
    36,738/50,698.80 = 19,971.36/x
  3. Step 3: Cross multiply
    36,738x = 50,698.80 × 19,971.36
  4. Step 4: Simplify right side
    36,738x = 1,012,523,986.37
  5. Step 5: Solve for x
    x = 1,012,523,986.37/36,738
  6. Step 6: Final answer
    x = 27,560.67

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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.