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Finding the Fourth Proportional to 3,763.58, 5,643.98 and 1,297.72

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Solution

The fourth proportional to 3,763.58, 5,643.98 and 1,297.72 is: 1,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.58 : 5,643.98 = 1,297.72 : x
  2. Step 2: Convert to fraction form
    3,763.58/5,643.98 = 1,297.72/x
  3. Step 3: Cross multiply
    3,763.58x = 5,643.98 × 1,297.72
  4. Step 4: Simplify right side
    3,763.58x = 7,324,305.73
  5. Step 5: Solve for x
    x = 7,324,305.73/3,763.58
  6. Step 6: Final answer
    x = 1,946.10

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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.