Home / 20,206.04-30,311.16-7,726

Finding the Fourth Proportional to 20,206.04, 30,311.16 and 7,726

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Solution

The fourth proportional to 20,206.04, 30,311.16 and 7,726 is: 11,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.04 : 30,311.16 = 7,726 : x
  2. Step 2: Convert to fraction form
    20,206.04/30,311.16 = 7,726/x
  3. Step 3: Cross multiply
    20,206.04x = 30,311.16 × 7,726
  4. Step 4: Simplify right side
    20,206.04x = 234,184,022.16
  5. Step 5: Solve for x
    x = 234,184,022.16/20,206.04
  6. Step 6: Final answer
    x = 11,589.80

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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.