Home / 5,102.70-7,651.31-2,098.10

Finding the Fourth Proportional to 5,102.70, 7,651.31 and 2,098.10

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Solution

The fourth proportional to 5,102.70, 7,651.31 and 2,098.10 is: 3,146.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.70 : 7,651.31 = 2,098.10 : x
  2. Step 2: Convert to fraction form
    5,102.70/7,651.31 = 2,098.10/x
  3. Step 3: Cross multiply
    5,102.70x = 7,651.31 × 2,098.10
  4. Step 4: Simplify right side
    5,102.70x = 16,053,213.51
  5. Step 5: Solve for x
    x = 16,053,213.51/5,102.70
  6. Step 6: Final answer
    x = 3,146.02

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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.