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Finding the Fourth Proportional to 2,092, 2,887.68 and 1,264

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Solution

The fourth proportional to 2,092, 2,887.68 and 1,264 is: 1,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092 : 2,887.68 = 1,264 : x
  2. Step 2: Convert to fraction form
    2,092/2,887.68 = 1,264/x
  3. Step 3: Cross multiply
    2,092x = 2,887.68 × 1,264
  4. Step 4: Simplify right side
    2,092x = 3,650,027.52
  5. Step 5: Solve for x
    x = 3,650,027.52/2,092
  6. Step 6: Final answer
    x = 1,744.76

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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.