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Finding the Fourth Proportional to 1,385.92, 1,912.50 and 861.94

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Solution

The fourth proportional to 1,385.92, 1,912.50 and 861.94 is: 1,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.92 : 1,912.50 = 861.94 : x
  2. Step 2: Convert to fraction form
    1,385.92/1,912.50 = 861.94/x
  3. Step 3: Cross multiply
    1,385.92x = 1,912.50 × 861.94
  4. Step 4: Simplify right side
    1,385.92x = 1,648,460.25
  5. Step 5: Solve for x
    x = 1,648,460.25/1,385.92
  6. Step 6: Final answer
    x = 1,189.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.