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Finding the Fourth Proportional to 11,730.91, 16,189.05 and 6,426.03

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Solution

The fourth proportional to 11,730.91, 16,189.05 and 6,426.03 is: 8,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.91 : 16,189.05 = 6,426.03 : x
  2. Step 2: Convert to fraction form
    11,730.91/16,189.05 = 6,426.03/x
  3. Step 3: Cross multiply
    11,730.91x = 16,189.05 × 6,426.03
  4. Step 4: Simplify right side
    11,730.91x = 104,031,320.97
  5. Step 5: Solve for x
    x = 104,031,320.97/11,730.91
  6. Step 6: Final answer
    x = 8,868.14

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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.