Home / 2,282.65-3,423.62-821.05

Finding the Fourth Proportional to 2,282.65, 3,423.62 and 821.05

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Solution

The fourth proportional to 2,282.65, 3,423.62 and 821.05 is: 1,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.65 : 3,423.62 = 821.05 : x
  2. Step 2: Convert to fraction form
    2,282.65/3,423.62 = 821.05/x
  3. Step 3: Cross multiply
    2,282.65x = 3,423.62 × 821.05
  4. Step 4: Simplify right side
    2,282.65x = 2,810,959.10
  5. Step 5: Solve for x
    x = 2,810,959.10/2,282.65
  6. Step 6: Final answer
    x = 1,231.45

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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.