Home / 2,291.24-3,434.02-828.79

Finding the Fourth Proportional to 2,291.24, 3,434.02 and 828.79

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Solution

The fourth proportional to 2,291.24, 3,434.02 and 828.79 is: 1,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.24 : 3,434.02 = 828.79 : x
  2. Step 2: Convert to fraction form
    2,291.24/3,434.02 = 828.79/x
  3. Step 3: Cross multiply
    2,291.24x = 3,434.02 × 828.79
  4. Step 4: Simplify right side
    2,291.24x = 2,846,070.78
  5. Step 5: Solve for x
    x = 2,846,070.78/2,291.24
  6. Step 6: Final answer
    x = 1,242.15

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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.