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Finding the Fourth Proportional to 20,355.20, 30,538.20 and 7,206.20

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Solution

The fourth proportional to 20,355.20, 30,538.20 and 7,206.20 is: 10,811.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,355.20 : 30,538.20 = 7,206.20 : x
  2. Step 2: Convert to fraction form
    20,355.20/30,538.20 = 7,206.20/x
  3. Step 3: Cross multiply
    20,355.20x = 30,538.20 × 7,206.20
  4. Step 4: Simplify right side
    20,355.20x = 220,064,376.84
  5. Step 5: Solve for x
    x = 220,064,376.84/20,355.20
  6. Step 6: Final answer
    x = 10,811.21

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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.