Home / 2,217.24-3,326.40-830.64

Finding the Fourth Proportional to 2,217.24, 3,326.40 and 830.64

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Solution

The fourth proportional to 2,217.24, 3,326.40 and 830.64 is: 1,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.24 : 3,326.40 = 830.64 : x
  2. Step 2: Convert to fraction form
    2,217.24/3,326.40 = 830.64/x
  3. Step 3: Cross multiply
    2,217.24x = 3,326.40 × 830.64
  4. Step 4: Simplify right side
    2,217.24x = 2,763,040.90
  5. Step 5: Solve for x
    x = 2,763,040.90/2,217.24
  6. Step 6: Final answer
    x = 1,246.16

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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.