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Finding the Fourth Proportional to 2,065.42, 2,850.20 and 1,181.20

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Solution

The fourth proportional to 2,065.42, 2,850.20 and 1,181.20 is: 1,630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.42 : 2,850.20 = 1,181.20 : x
  2. Step 2: Convert to fraction form
    2,065.42/2,850.20 = 1,181.20/x
  3. Step 3: Cross multiply
    2,065.42x = 2,850.20 × 1,181.20
  4. Step 4: Simplify right side
    2,065.42x = 3,366,656.24
  5. Step 5: Solve for x
    x = 3,366,656.24/2,065.42
  6. Step 6: Final answer
    x = 1,630.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.