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Finding the Fourth Proportional to 3,762.78, 5,645.13 and 1,297.74

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Solution

The fourth proportional to 3,762.78, 5,645.13 and 1,297.74 is: 1,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.78 : 5,645.13 = 1,297.74 : x
  2. Step 2: Convert to fraction form
    3,762.78/5,645.13 = 1,297.74/x
  3. Step 3: Cross multiply
    3,762.78x = 5,645.13 × 1,297.74
  4. Step 4: Simplify right side
    3,762.78x = 7,325,911.01
  5. Step 5: Solve for x
    x = 7,325,911.01/3,762.78
  6. Step 6: Final answer
    x = 1,946.94

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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.