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Finding the Fourth Proportional to 1,942.08, 2,913.12 and 481.20

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Solution

The fourth proportional to 1,942.08, 2,913.12 and 481.20 is: 721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.08 : 2,913.12 = 481.20 : x
  2. Step 2: Convert to fraction form
    1,942.08/2,913.12 = 481.20/x
  3. Step 3: Cross multiply
    1,942.08x = 2,913.12 × 481.20
  4. Step 4: Simplify right side
    1,942.08x = 1,401,793.34
  5. Step 5: Solve for x
    x = 1,401,793.34/1,942.08
  6. Step 6: Final answer
    x = 721.80

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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.