Home / 3,020.16-4,529.49-828.78

Finding the Fourth Proportional to 3,020.16, 4,529.49 and 828.78

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Solution

The fourth proportional to 3,020.16, 4,529.49 and 828.78 is: 1,242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.16 : 4,529.49 = 828.78 : x
  2. Step 2: Convert to fraction form
    3,020.16/4,529.49 = 828.78/x
  3. Step 3: Cross multiply
    3,020.16x = 4,529.49 × 828.78
  4. Step 4: Simplify right side
    3,020.16x = 3,753,950.72
  5. Step 5: Solve for x
    x = 3,753,950.72/3,020.16
  6. Step 6: Final answer
    x = 1,242.96

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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.