Home / 2,000-3,000-632

Finding the Fourth Proportional to 2,000, 3,000 and 632

Calculator

Solution

The fourth proportional to 2,000, 3,000 and 632 is: 948

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000 : 3,000 = 632 : x
  2. Step 2: Convert to fraction form
    2,000/3,000 = 632/x
  3. Step 3: Cross multiply
    2,000x = 3,000 × 632
  4. Step 4: Simplify right side
    2,000x = 1,896,000
  5. Step 5: Solve for x
    x = 1,896,000/2,000
  6. Step 6: Final answer
    x = 948

Related Problems

Find fourth proportional to 1,000, 1,500 and 316
Half scale
Find fourth proportional to 4,000, 6,000 and 1,264
Double scale
Find fourth proportional to 2,001, 3,001.50 and 633
Similar ratio
Find fourth proportional to 3,000, 4,500 and 948
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.