Home / 3,106.28-4,657.16-1,461.92

Finding the Fourth Proportional to 3,106.28, 4,657.16 and 1,461.92

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Solution

The fourth proportional to 3,106.28, 4,657.16 and 1,461.92 is: 2,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.28 : 4,657.16 = 1,461.92 : x
  2. Step 2: Convert to fraction form
    3,106.28/4,657.16 = 1,461.92/x
  3. Step 3: Cross multiply
    3,106.28x = 4,657.16 × 1,461.92
  4. Step 4: Simplify right side
    3,106.28x = 6,808,375.72
  5. Step 5: Solve for x
    x = 6,808,375.72/3,106.28
  6. Step 6: Final answer
    x = 2,191.81

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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.