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Finding the Fourth Proportional to 1,897.17, 2,843.26 and 971.94

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Solution

The fourth proportional to 1,897.17, 2,843.26 and 971.94 is: 1,456.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.17 : 2,843.26 = 971.94 : x
  2. Step 2: Convert to fraction form
    1,897.17/2,843.26 = 971.94/x
  3. Step 3: Cross multiply
    1,897.17x = 2,843.26 × 971.94
  4. Step 4: Simplify right side
    1,897.17x = 2,763,478.12
  5. Step 5: Solve for x
    x = 2,763,478.12/1,897.17
  6. Step 6: Final answer
    x = 1,456.63

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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.