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Finding the Fourth Proportional to 20,509.68, 30,774.36 and 10,119.12

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Solution

The fourth proportional to 20,509.68, 30,774.36 and 10,119.12 is: 15,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.68 : 30,774.36 = 10,119.12 : x
  2. Step 2: Convert to fraction form
    20,509.68/30,774.36 = 10,119.12/x
  3. Step 3: Cross multiply
    20,509.68x = 30,774.36 × 10,119.12
  4. Step 4: Simplify right side
    20,509.68x = 311,409,441.76
  5. Step 5: Solve for x
    x = 311,409,441.76/20,509.68
  6. Step 6: Final answer
    x = 15,183.53

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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.