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Finding the Fourth Proportional to 20,364.56, 30,538.20 and 7,220.24

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Solution

The fourth proportional to 20,364.56, 30,538.20 and 7,220.24 is: 10,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,364.56 : 30,538.20 = 7,220.24 : x
  2. Step 2: Convert to fraction form
    20,364.56/30,538.20 = 7,220.24/x
  3. Step 3: Cross multiply
    20,364.56x = 30,538.20 × 7,220.24
  4. Step 4: Simplify right side
    20,364.56x = 220,493,133.17
  5. Step 5: Solve for x
    x = 220,493,133.17/20,364.56
  6. Step 6: Final answer
    x = 10,827.30

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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.