Home / 1,537.22-2,121.37-838.59

Finding the Fourth Proportional to 1,537.22, 2,121.37 and 838.59

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Solution

The fourth proportional to 1,537.22, 2,121.37 and 838.59 is: 1,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.22 : 2,121.37 = 838.59 : x
  2. Step 2: Convert to fraction form
    1,537.22/2,121.37 = 838.59/x
  3. Step 3: Cross multiply
    1,537.22x = 2,121.37 × 838.59
  4. Step 4: Simplify right side
    1,537.22x = 1,778,967.10
  5. Step 5: Solve for x
    x = 1,778,967.10/1,537.22
  6. Step 6: Final answer
    x = 1,157.26

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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.