Home / 3,972-5,958-1,663.50

Finding the Fourth Proportional to 3,972, 5,958 and 1,663.50

Calculator

Solution

The fourth proportional to 3,972, 5,958 and 1,663.50 is: 2,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972 : 5,958 = 1,663.50 : x
  2. Step 2: Convert to fraction form
    3,972/5,958 = 1,663.50/x
  3. Step 3: Cross multiply
    3,972x = 5,958 × 1,663.50
  4. Step 4: Simplify right side
    3,972x = 9,911,133
  5. Step 5: Solve for x
    x = 9,911,133/3,972
  6. Step 6: Final answer
    x = 2,495.25

Related Problems

Find fourth proportional to 1,986, 2,979 and 831.75
Half scale
Find fourth proportional to 7,944, 11,916 and 3,327
Double scale
Find fourth proportional to 3,973, 5,959.50 and 1,664.50
Similar ratio
Find fourth proportional to 5,958, 8,937 and 2,495.25
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.