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Finding the Fourth Proportional to 11,913.96, 16,443.39 and 6,877.49

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Solution

The fourth proportional to 11,913.96, 16,443.39 and 6,877.49 is: 9,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.96 : 16,443.39 = 6,877.49 : x
  2. Step 2: Convert to fraction form
    11,913.96/16,443.39 = 6,877.49/x
  3. Step 3: Cross multiply
    11,913.96x = 16,443.39 × 6,877.49
  4. Step 4: Simplify right side
    11,913.96x = 113,089,250.29
  5. Step 5: Solve for x
    x = 113,089,250.29/11,913.96
  6. Step 6: Final answer
    x = 9,492.16

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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.