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Finding the Fourth Proportional to 30,928.13, 46,399.03 and 13,157.84

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Solution

The fourth proportional to 30,928.13, 46,399.03 and 13,157.84 is: 19,739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,928.13 : 46,399.03 = 13,157.84 : x
  2. Step 2: Convert to fraction form
    30,928.13/46,399.03 = 13,157.84/x
  3. Step 3: Cross multiply
    30,928.13x = 46,399.03 × 13,157.84
  4. Step 4: Simplify right side
    30,928.13x = 610,511,096.00
  5. Step 5: Solve for x
    x = 610,511,096.00/30,928.13
  6. Step 6: Final answer
    x = 19,739.67

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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.