Home / 20,184.08-30,232.36-9,774

Finding the Fourth Proportional to 20,184.08, 30,232.36 and 9,774

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Solution

The fourth proportional to 20,184.08, 30,232.36 and 9,774 is: 14,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.08 : 30,232.36 = 9,774 : x
  2. Step 2: Convert to fraction form
    20,184.08/30,232.36 = 9,774/x
  3. Step 3: Cross multiply
    20,184.08x = 30,232.36 × 9,774
  4. Step 4: Simplify right side
    20,184.08x = 295,491,086.64
  5. Step 5: Solve for x
    x = 295,491,086.64/20,184.08
  6. Step 6: Final answer
    x = 14,639.81

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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.