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Finding the Fourth Proportional to 3,106.83, 4,661.83 and 1,719.90

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Solution

The fourth proportional to 3,106.83, 4,661.83 and 1,719.90 is: 2,580.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.83 : 4,661.83 = 1,719.90 : x
  2. Step 2: Convert to fraction form
    3,106.83/4,661.83 = 1,719.90/x
  3. Step 3: Cross multiply
    3,106.83x = 4,661.83 × 1,719.90
  4. Step 4: Simplify right side
    3,106.83x = 8,017,881.42
  5. Step 5: Solve for x
    x = 8,017,881.42/3,106.83
  6. Step 6: Final answer
    x = 2,580.73

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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.