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Finding the Fourth Proportional to 9,187.14, 12,678.96 and 5,208.96

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Solution

The fourth proportional to 9,187.14, 12,678.96 and 5,208.96 is: 7,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.14 : 12,678.96 = 5,208.96 : x
  2. Step 2: Convert to fraction form
    9,187.14/12,678.96 = 5,208.96/x
  3. Step 3: Cross multiply
    9,187.14x = 12,678.96 × 5,208.96
  4. Step 4: Simplify right side
    9,187.14x = 66,044,195.48
  5. Step 5: Solve for x
    x = 66,044,195.48/9,187.14
  6. Step 6: Final answer
    x = 7,188.77

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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.