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Finding the Fourth Proportional to 9,132.78, 13,699.94 and 2,558.96

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Solution

The fourth proportional to 9,132.78, 13,699.94 and 2,558.96 is: 3,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.78 : 13,699.94 = 2,558.96 : x
  2. Step 2: Convert to fraction form
    9,132.78/13,699.94 = 2,558.96/x
  3. Step 3: Cross multiply
    9,132.78x = 13,699.94 × 2,558.96
  4. Step 4: Simplify right side
    9,132.78x = 35,057,517.17
  5. Step 5: Solve for x
    x = 35,057,517.17/9,132.78
  6. Step 6: Final answer
    x = 3,838.65

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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.