Home / 5,103.16-7,650.42-2,023

Finding the Fourth Proportional to 5,103.16, 7,650.42 and 2,023

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Solution

The fourth proportional to 5,103.16, 7,650.42 and 2,023 is: 3,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.16 : 7,650.42 = 2,023 : x
  2. Step 2: Convert to fraction form
    5,103.16/7,650.42 = 2,023/x
  3. Step 3: Cross multiply
    5,103.16x = 7,650.42 × 2,023
  4. Step 4: Simplify right side
    5,103.16x = 15,476,799.66
  5. Step 5: Solve for x
    x = 15,476,799.66/5,103.16
  6. Step 6: Final answer
    x = 3,032.79

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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.