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Finding the Fourth Proportional to 2,092, 2,887.06 and 1,160.50

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Solution

The fourth proportional to 2,092, 2,887.06 and 1,160.50 is: 1,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092 : 2,887.06 = 1,160.50 : x
  2. Step 2: Convert to fraction form
    2,092/2,887.06 = 1,160.50/x
  3. Step 3: Cross multiply
    2,092x = 2,887.06 × 1,160.50
  4. Step 4: Simplify right side
    2,092x = 3,350,427.33
  5. Step 5: Solve for x
    x = 3,350,427.33/2,092
  6. Step 6: Final answer
    x = 1,601.54

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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.