Home / 2,130.69-3,194.20-831.86

Finding the Fourth Proportional to 2,130.69, 3,194.20 and 831.86

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Solution

The fourth proportional to 2,130.69, 3,194.20 and 831.86 is: 1,247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.69 : 3,194.20 = 831.86 : x
  2. Step 2: Convert to fraction form
    2,130.69/3,194.20 = 831.86/x
  3. Step 3: Cross multiply
    2,130.69x = 3,194.20 × 831.86
  4. Step 4: Simplify right side
    2,130.69x = 2,657,127.21
  5. Step 5: Solve for x
    x = 2,657,127.21/2,130.69
  6. Step 6: Final answer
    x = 1,247.07

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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.