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Finding the Fourth Proportional to 11,873.39, 16,381.75 and 6,837.48

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Solution

The fourth proportional to 11,873.39, 16,381.75 and 6,837.48 is: 9,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.39 : 16,381.75 = 6,837.48 : x
  2. Step 2: Convert to fraction form
    11,873.39/16,381.75 = 6,837.48/x
  3. Step 3: Cross multiply
    11,873.39x = 16,381.75 × 6,837.48
  4. Step 4: Simplify right side
    11,873.39x = 112,009,870.90
  5. Step 5: Solve for x
    x = 112,009,870.90/11,873.39
  6. Step 6: Final answer
    x = 9,433.69

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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.