Home / 2,823.16-3,896.81-1,828.51

Finding the Fourth Proportional to 2,823.16, 3,896.81 and 1,828.51

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Solution

The fourth proportional to 2,823.16, 3,896.81 and 1,828.51 is: 2,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.16 : 3,896.81 = 1,828.51 : x
  2. Step 2: Convert to fraction form
    2,823.16/3,896.81 = 1,828.51/x
  3. Step 3: Cross multiply
    2,823.16x = 3,896.81 × 1,828.51
  4. Step 4: Simplify right side
    2,823.16x = 7,125,356.05
  5. Step 5: Solve for x
    x = 7,125,356.05/2,823.16
  6. Step 6: Final answer
    x = 2,523.89

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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.