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Finding the Fourth Proportional to 20,245.44, 30,368.16 and 10,378.43

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Solution

The fourth proportional to 20,245.44, 30,368.16 and 10,378.43 is: 15,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,245.44 : 30,368.16 = 10,378.43 : x
  2. Step 2: Convert to fraction form
    20,245.44/30,368.16 = 10,378.43/x
  3. Step 3: Cross multiply
    20,245.44x = 30,368.16 × 10,378.43
  4. Step 4: Simplify right side
    20,245.44x = 315,173,670.95
  5. Step 5: Solve for x
    x = 315,173,670.95/20,245.44
  6. Step 6: Final answer
    x = 15,567.64

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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.