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Finding the Fourth Proportional to 2,162.12, 3,242.84 and 775.42

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Solution

The fourth proportional to 2,162.12, 3,242.84 and 775.42 is: 1,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.12 : 3,242.84 = 775.42 : x
  2. Step 2: Convert to fraction form
    2,162.12/3,242.84 = 775.42/x
  3. Step 3: Cross multiply
    2,162.12x = 3,242.84 × 775.42
  4. Step 4: Simplify right side
    2,162.12x = 2,514,551.01
  5. Step 5: Solve for x
    x = 2,514,551.01/2,162.12
  6. Step 6: Final answer
    x = 1,163.01

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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.