Home / 1,537.24-2,121.42-838.64

Finding the Fourth Proportional to 1,537.24, 2,121.42 and 838.64

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Solution

The fourth proportional to 1,537.24, 2,121.42 and 838.64 is: 1,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.24 : 2,121.42 = 838.64 : x
  2. Step 2: Convert to fraction form
    1,537.24/2,121.42 = 838.64/x
  3. Step 3: Cross multiply
    1,537.24x = 2,121.42 × 838.64
  4. Step 4: Simplify right side
    1,537.24x = 1,779,107.67
  5. Step 5: Solve for x
    x = 1,779,107.67/1,537.24
  6. Step 6: Final answer
    x = 1,157.34

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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.