Home / 4,102.71-6,146.64-1,883.40

Finding the Fourth Proportional to 4,102.71, 6,146.64 and 1,883.40

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Solution

The fourth proportional to 4,102.71, 6,146.64 and 1,883.40 is: 2,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.71 : 6,146.64 = 1,883.40 : x
  2. Step 2: Convert to fraction form
    4,102.71/6,146.64 = 1,883.40/x
  3. Step 3: Cross multiply
    4,102.71x = 6,146.64 × 1,883.40
  4. Step 4: Simplify right side
    4,102.71x = 11,576,581.78
  5. Step 5: Solve for x
    x = 11,576,581.78/4,102.71
  6. Step 6: Final answer
    x = 2,821.69

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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.