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Finding the Fourth Proportional to 13,153.50, 19,733.67 and 3,919.50

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Solution

The fourth proportional to 13,153.50, 19,733.67 and 3,919.50 is: 5,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.50 : 19,733.67 = 3,919.50 : x
  2. Step 2: Convert to fraction form
    13,153.50/19,733.67 = 3,919.50/x
  3. Step 3: Cross multiply
    13,153.50x = 19,733.67 × 3,919.50
  4. Step 4: Simplify right side
    13,153.50x = 77,346,119.57
  5. Step 5: Solve for x
    x = 77,346,119.57/13,153.50
  6. Step 6: Final answer
    x = 5,880.27

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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.