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Finding the Fourth Proportional to 2,601.70, 3,898.23 and 1,830.58

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Solution

The fourth proportional to 2,601.70, 3,898.23 and 1,830.58 is: 2,742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.70 : 3,898.23 = 1,830.58 : x
  2. Step 2: Convert to fraction form
    2,601.70/3,898.23 = 1,830.58/x
  3. Step 3: Cross multiply
    2,601.70x = 3,898.23 × 1,830.58
  4. Step 4: Simplify right side
    2,601.70x = 7,136,021.87
  5. Step 5: Solve for x
    x = 7,136,021.87/2,601.70
  6. Step 6: Final answer
    x = 2,742.83

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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.