Home / 2,422.00-3,632.21-778.16

Finding the Fourth Proportional to 2,422.00, 3,632.21 and 778.16

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Solution

The fourth proportional to 2,422.00, 3,632.21 and 778.16 is: 1,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.00 : 3,632.21 = 778.16 : x
  2. Step 2: Convert to fraction form
    2,422.00/3,632.21 = 778.16/x
  3. Step 3: Cross multiply
    2,422.00x = 3,632.21 × 778.16
  4. Step 4: Simplify right side
    2,422.00x = 2,826,428.21
  5. Step 5: Solve for x
    x = 2,826,428.21/2,422.00
  6. Step 6: Final answer
    x = 1,166.98

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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.