Home / 2,421.26-3,632.33-777.81

Finding the Fourth Proportional to 2,421.26, 3,632.33 and 777.81

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Solution

The fourth proportional to 2,421.26, 3,632.33 and 777.81 is: 1,166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.26 : 3,632.33 = 777.81 : x
  2. Step 2: Convert to fraction form
    2,421.26/3,632.33 = 777.81/x
  3. Step 3: Cross multiply
    2,421.26x = 3,632.33 × 777.81
  4. Step 4: Simplify right side
    2,421.26x = 2,825,262.60
  5. Step 5: Solve for x
    x = 2,825,262.60/2,421.26
  6. Step 6: Final answer
    x = 1,166.86

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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.