Home / 2,569.36-3,544-1,574.20

Finding the Fourth Proportional to 2,569.36, 3,544 and 1,574.20

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Solution

The fourth proportional to 2,569.36, 3,544 and 1,574.20 is: 2,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.36 : 3,544 = 1,574.20 : x
  2. Step 2: Convert to fraction form
    2,569.36/3,544 = 1,574.20/x
  3. Step 3: Cross multiply
    2,569.36x = 3,544 × 1,574.20
  4. Step 4: Simplify right side
    2,569.36x = 5,578,964.80
  5. Step 5: Solve for x
    x = 5,578,964.80/2,569.36
  6. Step 6: Final answer
    x = 2,171.34

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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.