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Finding the Fourth Proportional to 36,991, 51,047.58 and 20,224

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Solution

The fourth proportional to 36,991, 51,047.58 and 20,224 is: 27,909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,991 : 51,047.58 = 20,224 : x
  2. Step 2: Convert to fraction form
    36,991/51,047.58 = 20,224/x
  3. Step 3: Cross multiply
    36,991x = 51,047.58 × 20,224
  4. Step 4: Simplify right side
    36,991x = 1,032,386,257.92
  5. Step 5: Solve for x
    x = 1,032,386,257.92/36,991
  6. Step 6: Final answer
    x = 27,909.12

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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.