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Finding the Fourth Proportional to 20,696.70, 31,008.60 and 16,978.80

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Solution

The fourth proportional to 20,696.70, 31,008.60 and 16,978.80 is: 25,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696.70 : 31,008.60 = 16,978.80 : x
  2. Step 2: Convert to fraction form
    20,696.70/31,008.60 = 16,978.80/x
  3. Step 3: Cross multiply
    20,696.70x = 31,008.60 × 16,978.80
  4. Step 4: Simplify right side
    20,696.70x = 526,488,817.68
  5. Step 5: Solve for x
    x = 526,488,817.68/20,696.70
  6. Step 6: Final answer
    x = 25,438.30

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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.