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Finding the Fourth Proportional to 13,571.75, 18,730.40 and 7,829.42

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Solution

The fourth proportional to 13,571.75, 18,730.40 and 7,829.42 is: 10,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,571.75 : 18,730.40 = 7,829.42 : x
  2. Step 2: Convert to fraction form
    13,571.75/18,730.40 = 7,829.42/x
  3. Step 3: Cross multiply
    13,571.75x = 18,730.40 × 7,829.42
  4. Step 4: Simplify right side
    13,571.75x = 146,648,035.57
  5. Step 5: Solve for x
    x = 146,648,035.57/13,571.75
  6. Step 6: Final answer
    x = 10,805.39

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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.