Home / 5,198.70-7,802.14-2,423.94

Finding the Fourth Proportional to 5,198.70, 7,802.14 and 2,423.94

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Solution

The fourth proportional to 5,198.70, 7,802.14 and 2,423.94 is: 3,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.70 : 7,802.14 = 2,423.94 : x
  2. Step 2: Convert to fraction form
    5,198.70/7,802.14 = 2,423.94/x
  3. Step 3: Cross multiply
    5,198.70x = 7,802.14 × 2,423.94
  4. Step 4: Simplify right side
    5,198.70x = 18,911,907.11
  5. Step 5: Solve for x
    x = 18,911,907.11/5,198.70
  6. Step 6: Final answer
    x = 3,637.82

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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.