Home / 3,942.50-5,913.75-1,603.78

Finding the Fourth Proportional to 3,942.50, 5,913.75 and 1,603.78

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Solution

The fourth proportional to 3,942.50, 5,913.75 and 1,603.78 is: 2,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.50 : 5,913.75 = 1,603.78 : x
  2. Step 2: Convert to fraction form
    3,942.50/5,913.75 = 1,603.78/x
  3. Step 3: Cross multiply
    3,942.50x = 5,913.75 × 1,603.78
  4. Step 4: Simplify right side
    3,942.50x = 9,484,324.41
  5. Step 5: Solve for x
    x = 9,484,324.41/3,942.50
  6. Step 6: Final answer
    x = 2,405.66

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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.