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Finding the Fourth Proportional to 13,628.25, 18,806.05 and 7,660.82

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Solution

The fourth proportional to 13,628.25, 18,806.05 and 7,660.82 is: 10,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,628.25 : 18,806.05 = 7,660.82 : x
  2. Step 2: Convert to fraction form
    13,628.25/18,806.05 = 7,660.82/x
  3. Step 3: Cross multiply
    13,628.25x = 18,806.05 × 7,660.82
  4. Step 4: Simplify right side
    13,628.25x = 144,069,763.96
  5. Step 5: Solve for x
    x = 144,069,763.96/13,628.25
  6. Step 6: Final answer
    x = 10,571.41

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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.