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Finding the Fourth Proportional to 1,897.38, 2,846.43 and 581.22

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Solution

The fourth proportional to 1,897.38, 2,846.43 and 581.22 is: 871.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.38 : 2,846.43 = 581.22 : x
  2. Step 2: Convert to fraction form
    1,897.38/2,846.43 = 581.22/x
  3. Step 3: Cross multiply
    1,897.38x = 2,846.43 × 581.22
  4. Step 4: Simplify right side
    1,897.38x = 1,654,402.04
  5. Step 5: Solve for x
    x = 1,654,402.04/1,897.38
  6. Step 6: Final answer
    x = 871.94

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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.