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Finding the Fourth Proportional to 20,168, 30,256.26 and 8,474.48

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Solution

The fourth proportional to 20,168, 30,256.26 and 8,474.48 is: 12,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,168 : 30,256.26 = 8,474.48 : x
  2. Step 2: Convert to fraction form
    20,168/30,256.26 = 8,474.48/x
  3. Step 3: Cross multiply
    20,168x = 30,256.26 × 8,474.48
  4. Step 4: Simplify right side
    20,168x = 256,406,070.24
  5. Step 5: Solve for x
    x = 256,406,070.24/20,168
  6. Step 6: Final answer
    x = 12,713.51

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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.