Home / 1,138.09-1,569.49-1,053.24

Finding the Fourth Proportional to 1,138.09, 1,569.49 and 1,053.24

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Solution

The fourth proportional to 1,138.09, 1,569.49 and 1,053.24 is: 1,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.09 : 1,569.49 = 1,053.24 : x
  2. Step 2: Convert to fraction form
    1,138.09/1,569.49 = 1,053.24/x
  3. Step 3: Cross multiply
    1,138.09x = 1,569.49 × 1,053.24
  4. Step 4: Simplify right side
    1,138.09x = 1,653,049.65
  5. Step 5: Solve for x
    x = 1,653,049.65/1,138.09
  6. Step 6: Final answer
    x = 1,452.48

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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.