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Finding the Fourth Proportional to 1,788, 2,682.96 and 1,356

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Solution

The fourth proportional to 1,788, 2,682.96 and 1,356 is: 2,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788 : 2,682.96 = 1,356 : x
  2. Step 2: Convert to fraction form
    1,788/2,682.96 = 1,356/x
  3. Step 3: Cross multiply
    1,788x = 2,682.96 × 1,356
  4. Step 4: Simplify right side
    1,788x = 3,638,093.76
  5. Step 5: Solve for x
    x = 3,638,093.76/1,788
  6. Step 6: Final answer
    x = 2,034.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.