Home / 2,828.38-3,902.10-2,084.12

Finding the Fourth Proportional to 2,828.38, 3,902.10 and 2,084.12

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Solution

The fourth proportional to 2,828.38, 3,902.10 and 2,084.12 is: 2,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.38 : 3,902.10 = 2,084.12 : x
  2. Step 2: Convert to fraction form
    2,828.38/3,902.10 = 2,084.12/x
  3. Step 3: Cross multiply
    2,828.38x = 3,902.10 × 2,084.12
  4. Step 4: Simplify right side
    2,828.38x = 8,132,444.65
  5. Step 5: Solve for x
    x = 8,132,444.65/2,828.38
  6. Step 6: Final answer
    x = 2,875.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.