Home / 2,678.65-4,017.21-828.79

Finding the Fourth Proportional to 2,678.65, 4,017.21 and 828.79

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Solution

The fourth proportional to 2,678.65, 4,017.21 and 828.79 is: 1,242.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.65 : 4,017.21 = 828.79 : x
  2. Step 2: Convert to fraction form
    2,678.65/4,017.21 = 828.79/x
  3. Step 3: Cross multiply
    2,678.65x = 4,017.21 × 828.79
  4. Step 4: Simplify right side
    2,678.65x = 3,329,423.48
  5. Step 5: Solve for x
    x = 3,329,423.48/2,678.65
  6. Step 6: Final answer
    x = 1,242.95

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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.