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Finding the Fourth Proportional to 1,863.93, 2,794.88 and 1,205.72

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Solution

The fourth proportional to 1,863.93, 2,794.88 and 1,205.72 is: 1,807.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.93 : 2,794.88 = 1,205.72 : x
  2. Step 2: Convert to fraction form
    1,863.93/2,794.88 = 1,205.72/x
  3. Step 3: Cross multiply
    1,863.93x = 2,794.88 × 1,205.72
  4. Step 4: Simplify right side
    1,863.93x = 3,369,831.75
  5. Step 5: Solve for x
    x = 3,369,831.75/1,863.93
  6. Step 6: Final answer
    x = 1,807.92

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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.