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Finding the Fourth Proportional to 13,225, 19,838.04 and 3,991

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Solution

The fourth proportional to 13,225, 19,838.04 and 3,991 is: 5,986.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225 : 19,838.04 = 3,991 : x
  2. Step 2: Convert to fraction form
    13,225/19,838.04 = 3,991/x
  3. Step 3: Cross multiply
    13,225x = 19,838.04 × 3,991
  4. Step 4: Simplify right side
    13,225x = 79,173,617.64
  5. Step 5: Solve for x
    x = 79,173,617.64/13,225
  6. Step 6: Final answer
    x = 5,986.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.