Home / 2,148.04-3,221.44-831.70

Finding the Fourth Proportional to 2,148.04, 3,221.44 and 831.70

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Solution

The fourth proportional to 2,148.04, 3,221.44 and 831.70 is: 1,247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.04 : 3,221.44 = 831.70 : x
  2. Step 2: Convert to fraction form
    2,148.04/3,221.44 = 831.70/x
  3. Step 3: Cross multiply
    2,148.04x = 3,221.44 × 831.70
  4. Step 4: Simplify right side
    2,148.04x = 2,679,271.65
  5. Step 5: Solve for x
    x = 2,679,271.65/2,148.04
  6. Step 6: Final answer
    x = 1,247.31

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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.