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Finding the Fourth Proportional to 9,166.92, 12,650.64 and 5,187.96

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Solution

The fourth proportional to 9,166.92, 12,650.64 and 5,187.96 is: 7,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.92 : 12,650.64 = 5,187.96 : x
  2. Step 2: Convert to fraction form
    9,166.92/12,650.64 = 5,187.96/x
  3. Step 3: Cross multiply
    9,166.92x = 12,650.64 × 5,187.96
  4. Step 4: Simplify right side
    9,166.92x = 65,631,014.29
  5. Step 5: Solve for x
    x = 65,631,014.29/9,166.92
  6. Step 6: Final answer
    x = 7,159.55

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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.