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Finding the Fourth Proportional to 1,897.73, 2,619.90 and 1,311.42

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Solution

The fourth proportional to 1,897.73, 2,619.90 and 1,311.42 is: 1,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.73 : 2,619.90 = 1,311.42 : x
  2. Step 2: Convert to fraction form
    1,897.73/2,619.90 = 1,311.42/x
  3. Step 3: Cross multiply
    1,897.73x = 2,619.90 × 1,311.42
  4. Step 4: Simplify right side
    1,897.73x = 3,435,789.26
  5. Step 5: Solve for x
    x = 3,435,789.26/1,897.73
  6. Step 6: Final answer
    x = 1,810.47

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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.