Home / 2,828.28-3,902.71-1,569.30

Finding the Fourth Proportional to 2,828.28, 3,902.71 and 1,569.30

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Solution

The fourth proportional to 2,828.28, 3,902.71 and 1,569.30 is: 2,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.28 : 3,902.71 = 1,569.30 : x
  2. Step 2: Convert to fraction form
    2,828.28/3,902.71 = 1,569.30/x
  3. Step 3: Cross multiply
    2,828.28x = 3,902.71 × 1,569.30
  4. Step 4: Simplify right side
    2,828.28x = 6,124,522.80
  5. Step 5: Solve for x
    x = 6,124,522.80/2,828.28
  6. Step 6: Final answer
    x = 2,165.46

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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.