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Finding the Fourth Proportional to 1,849.38, 2,774.47 and 861.46

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Solution

The fourth proportional to 1,849.38, 2,774.47 and 861.46 is: 1,292.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.38 : 2,774.47 = 861.46 : x
  2. Step 2: Convert to fraction form
    1,849.38/2,774.47 = 861.46/x
  3. Step 3: Cross multiply
    1,849.38x = 2,774.47 × 861.46
  4. Step 4: Simplify right side
    1,849.38x = 2,390,094.93
  5. Step 5: Solve for x
    x = 2,390,094.93/1,849.38
  6. Step 6: Final answer
    x = 1,292.38

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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.