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Finding the Fourth Proportional to 11,730.94, 16,188.31 and 6,425.71

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Solution

The fourth proportional to 11,730.94, 16,188.31 and 6,425.71 is: 8,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.94 : 16,188.31 = 6,425.71 : x
  2. Step 2: Convert to fraction form
    11,730.94/16,188.31 = 6,425.71/x
  3. Step 3: Cross multiply
    11,730.94x = 16,188.31 × 6,425.71
  4. Step 4: Simplify right side
    11,730.94x = 104,021,385.45
  5. Step 5: Solve for x
    x = 104,021,385.45/11,730.94
  6. Step 6: Final answer
    x = 8,867.27

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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.