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Finding the Fourth Proportional to 11,811.96, 16,300.49 and 6,507.14

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Solution

The fourth proportional to 11,811.96, 16,300.49 and 6,507.14 is: 8,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.96 : 16,300.49 = 6,507.14 : x
  2. Step 2: Convert to fraction form
    11,811.96/16,300.49 = 6,507.14/x
  3. Step 3: Cross multiply
    11,811.96x = 16,300.49 × 6,507.14
  4. Step 4: Simplify right side
    11,811.96x = 106,069,456.46
  5. Step 5: Solve for x
    x = 106,069,456.46/11,811.96
  6. Step 6: Final answer
    x = 8,979.84

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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.