Home / 3,897-5,845.68-1,124.06

Finding the Fourth Proportional to 3,897, 5,845.68 and 1,124.06

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Solution

The fourth proportional to 3,897, 5,845.68 and 1,124.06 is: 1,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897 : 5,845.68 = 1,124.06 : x
  2. Step 2: Convert to fraction form
    3,897/5,845.68 = 1,124.06/x
  3. Step 3: Cross multiply
    3,897x = 5,845.68 × 1,124.06
  4. Step 4: Simplify right side
    3,897x = 6,570,865.83
  5. Step 5: Solve for x
    x = 6,570,865.83/3,897
  6. Step 6: Final answer
    x = 1,686.13

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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.