Home / 4,084-7,684

Finding the Third Proportional to 4,084 and 7,684

Calculator

Solution

The third proportional to 4,084 and 7,684 is: 14,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,084 : 7,684 = 7,684 : x
  2. Step 2: Convert to fraction form
    4,084/7,684 = 7,684/x
  3. Step 3: Cross multiply
    4,084x = 7,684 × 7,684
  4. Step 4: Simplify right side
    4,084x = 59,043,856
  5. Step 5: Solve for x
    x = 59,043,856/4,084
  6. Step 6: Final answer
    x = 14,457.36

Related Problems

Find third proportional to 2,042 and 3,842
Half scale
Find third proportional to 8,168 and 15,368
Double scale
Find third proportional to 4,086 and 7,688
Similar ratio
Find third proportional to 6,126 and 11,526
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.