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Finding the Fourth Proportional to 11,845.82, 16,347.71 and 6,540.47

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Solution

The fourth proportional to 11,845.82, 16,347.71 and 6,540.47 is: 9,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,845.82 : 16,347.71 = 6,540.47 : x
  2. Step 2: Convert to fraction form
    11,845.82/16,347.71 = 6,540.47/x
  3. Step 3: Cross multiply
    11,845.82x = 16,347.71 × 6,540.47
  4. Step 4: Simplify right side
    11,845.82x = 106,921,674.12
  5. Step 5: Solve for x
    x = 106,921,674.12/11,845.82
  6. Step 6: Final answer
    x = 9,026.11

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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.