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Finding the Fourth Proportional to 20,770.62, 31,163.22 and 12,970.32

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Solution

The fourth proportional to 20,770.62, 31,163.22 and 12,970.32 is: 19,460.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.62 : 31,163.22 = 12,970.32 : x
  2. Step 2: Convert to fraction form
    20,770.62/31,163.22 = 12,970.32/x
  3. Step 3: Cross multiply
    20,770.62x = 31,163.22 × 12,970.32
  4. Step 4: Simplify right side
    20,770.62x = 404,196,935.63
  5. Step 5: Solve for x
    x = 404,196,935.63/20,770.62
  6. Step 6: Final answer
    x = 19,460.03

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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.