Home / 3,490-4,815.80-1,997.83

Finding the Fourth Proportional to 3,490, 4,815.80 and 1,997.83

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Solution

The fourth proportional to 3,490, 4,815.80 and 1,997.83 is: 2,756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490 : 4,815.80 = 1,997.83 : x
  2. Step 2: Convert to fraction form
    3,490/4,815.80 = 1,997.83/x
  3. Step 3: Cross multiply
    3,490x = 4,815.80 × 1,997.83
  4. Step 4: Simplify right side
    3,490x = 9,621,144.72
  5. Step 5: Solve for x
    x = 9,621,144.72/3,490
  6. Step 6: Final answer
    x = 2,756.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.