Home / 2,098.80-3,146.58-1,664.64

Finding the Fourth Proportional to 2,098.80, 3,146.58 and 1,664.64

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Solution

The fourth proportional to 2,098.80, 3,146.58 and 1,664.64 is: 2,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.80 : 3,146.58 = 1,664.64 : x
  2. Step 2: Convert to fraction form
    2,098.80/3,146.58 = 1,664.64/x
  3. Step 3: Cross multiply
    2,098.80x = 3,146.58 × 1,664.64
  4. Step 4: Simplify right side
    2,098.80x = 5,237,922.93
  5. Step 5: Solve for x
    x = 5,237,922.93/2,098.80
  6. Step 6: Final answer
    x = 2,495.68

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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.