Home / 2,569.28-3,855.36-1,415.36

Finding the Fourth Proportional to 2,569.28, 3,855.36 and 1,415.36

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Solution

The fourth proportional to 2,569.28, 3,855.36 and 1,415.36 is: 2,123.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.28 : 3,855.36 = 1,415.36 : x
  2. Step 2: Convert to fraction form
    2,569.28/3,855.36 = 1,415.36/x
  3. Step 3: Cross multiply
    2,569.28x = 3,855.36 × 1,415.36
  4. Step 4: Simplify right side
    2,569.28x = 5,456,722.33
  5. Step 5: Solve for x
    x = 5,456,722.33/2,569.28
  6. Step 6: Final answer
    x = 2,123.83

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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.