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Finding the Fourth Proportional to 3,793.64, 5,683.08 and 2,145.20

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Solution

The fourth proportional to 3,793.64, 5,683.08 and 2,145.20 is: 3,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.64 : 5,683.08 = 2,145.20 : x
  2. Step 2: Convert to fraction form
    3,793.64/5,683.08 = 2,145.20/x
  3. Step 3: Cross multiply
    3,793.64x = 5,683.08 × 2,145.20
  4. Step 4: Simplify right side
    3,793.64x = 12,191,343.22
  5. Step 5: Solve for x
    x = 12,191,343.22/3,793.64
  6. Step 6: Final answer
    x = 3,213.63

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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.