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Finding the Fourth Proportional to 20,181.70, 30,276.60 and 6,142.60

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Solution

The fourth proportional to 20,181.70, 30,276.60 and 6,142.60 is: 9,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181.70 : 30,276.60 = 6,142.60 : x
  2. Step 2: Convert to fraction form
    20,181.70/30,276.60 = 6,142.60/x
  3. Step 3: Cross multiply
    20,181.70x = 30,276.60 × 6,142.60
  4. Step 4: Simplify right side
    20,181.70x = 185,977,043.16
  5. Step 5: Solve for x
    x = 185,977,043.16/20,181.70
  6. Step 6: Final answer
    x = 9,215.13

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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.