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Finding the Fourth Proportional to 36,895, 50,915.10 and 21,991

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Solution

The fourth proportional to 36,895, 50,915.10 and 21,991 is: 30,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,895 : 50,915.10 = 21,991 : x
  2. Step 2: Convert to fraction form
    36,895/50,915.10 = 21,991/x
  3. Step 3: Cross multiply
    36,895x = 50,915.10 × 21,991
  4. Step 4: Simplify right side
    36,895x = 1,119,673,964.10
  5. Step 5: Solve for x
    x = 1,119,673,964.10/36,895
  6. Step 6: Final answer
    x = 30,347.58

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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.