Home / 1,416.13-1,954-826.54

Finding the Fourth Proportional to 1,416.13, 1,954 and 826.54

Calculator

Solution

The fourth proportional to 1,416.13, 1,954 and 826.54 is: 1,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.13 : 1,954 = 826.54 : x
  2. Step 2: Convert to fraction form
    1,416.13/1,954 = 826.54/x
  3. Step 3: Cross multiply
    1,416.13x = 1,954 × 826.54
  4. Step 4: Simplify right side
    1,416.13x = 1,615,059.16
  5. Step 5: Solve for x
    x = 1,615,059.16/1,416.13
  6. Step 6: Final answer
    x = 1,140.47

Related Problems

Find fourth proportional to 708.07, 977 and 413.27
Half scale
Find fourth proportional to 2,832.26, 3,908 and 1,653.08
Double scale
Find fourth proportional to 1,417.13, 1,955.38 and 827.54
Similar ratio
Find fourth proportional to 2,124.20, 2,931 and 1,239.81
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.