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Finding the Fourth Proportional to 2,074.51, 3,111.81 and 775.27

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Solution

The fourth proportional to 2,074.51, 3,111.81 and 775.27 is: 1,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.51 : 3,111.81 = 775.27 : x
  2. Step 2: Convert to fraction form
    2,074.51/3,111.81 = 775.27/x
  3. Step 3: Cross multiply
    2,074.51x = 3,111.81 × 775.27
  4. Step 4: Simplify right side
    2,074.51x = 2,412,473.50
  5. Step 5: Solve for x
    x = 2,412,473.50/2,074.51
  6. Step 6: Final answer
    x = 1,162.92

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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.