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Finding the Fourth Proportional to 13,821.06, 20,703.06 and 7,227.30

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Solution

The fourth proportional to 13,821.06, 20,703.06 and 7,227.30 is: 10,826.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.06 : 20,703.06 = 7,227.30 : x
  2. Step 2: Convert to fraction form
    13,821.06/20,703.06 = 7,227.30/x
  3. Step 3: Cross multiply
    13,821.06x = 20,703.06 × 7,227.30
  4. Step 4: Simplify right side
    13,821.06x = 149,627,225.54
  5. Step 5: Solve for x
    x = 149,627,225.54/13,821.06
  6. Step 6: Final answer
    x = 10,826.03

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1.5x scale

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.