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Finding the Fourth Proportional to 11,916, 16,444.80 and 6,948

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Solution

The fourth proportional to 11,916, 16,444.80 and 6,948 is: 9,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916 : 16,444.80 = 6,948 : x
  2. Step 2: Convert to fraction form
    11,916/16,444.80 = 6,948/x
  3. Step 3: Cross multiply
    11,916x = 16,444.80 × 6,948
  4. Step 4: Simplify right side
    11,916x = 114,258,470.40
  5. Step 5: Solve for x
    x = 114,258,470.40/11,916
  6. Step 6: Final answer
    x = 9,588.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.