Home / 3,406-5,109-974

Finding the Fourth Proportional to 3,406, 5,109 and 974

Calculator

Solution

The fourth proportional to 3,406, 5,109 and 974 is: 1,461

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406 : 5,109 = 974 : x
  2. Step 2: Convert to fraction form
    3,406/5,109 = 974/x
  3. Step 3: Cross multiply
    3,406x = 5,109 × 974
  4. Step 4: Simplify right side
    3,406x = 4,976,166
  5. Step 5: Solve for x
    x = 4,976,166/3,406
  6. Step 6: Final answer
    x = 1,461

Related Problems

Find fourth proportional to 1,703, 2,554.50 and 487
Half scale
Find fourth proportional to 6,812, 10,218 and 1,948
Double scale
Find fourth proportional to 3,407, 5,110.50 and 975
Similar ratio
Find fourth proportional to 5,109, 7,663.50 and 1,461
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.