Home / 2,052-3,078-513

Finding the Fourth Proportional to 2,052, 3,078 and 513

Calculator

Solution

The fourth proportional to 2,052, 3,078 and 513 is: 769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052 : 3,078 = 513 : x
  2. Step 2: Convert to fraction form
    2,052/3,078 = 513/x
  3. Step 3: Cross multiply
    2,052x = 3,078 × 513
  4. Step 4: Simplify right side
    2,052x = 1,579,014
  5. Step 5: Solve for x
    x = 1,579,014/2,052
  6. Step 6: Final answer
    x = 769.50

Related Problems

Find fourth proportional to 1,026, 1,539 and 256.50
Half scale
Find fourth proportional to 4,104, 6,156 and 1,026
Double scale
Find fourth proportional to 2,053, 3,079.50 and 514
Similar ratio
Find fourth proportional to 3,078, 4,617 and 769.50
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.