Home / 20,180.08-30,226.36-9,770

Finding the Fourth Proportional to 20,180.08, 30,226.36 and 9,770

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Solution

The fourth proportional to 20,180.08, 30,226.36 and 9,770 is: 14,633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,180.08 : 30,226.36 = 9,770 : x
  2. Step 2: Convert to fraction form
    20,180.08/30,226.36 = 9,770/x
  3. Step 3: Cross multiply
    20,180.08x = 30,226.36 × 9,770
  4. Step 4: Simplify right side
    20,180.08x = 295,311,537.20
  5. Step 5: Solve for x
    x = 295,311,537.20/20,180.08
  6. Step 6: Final answer
    x = 14,633.81

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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.