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Finding the Fourth Proportional to 11,940, 16,477.20 and 8,220.48

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Solution

The fourth proportional to 11,940, 16,477.20 and 8,220.48 is: 11,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940 : 16,477.20 = 8,220.48 : x
  2. Step 2: Convert to fraction form
    11,940/16,477.20 = 8,220.48/x
  3. Step 3: Cross multiply
    11,940x = 16,477.20 × 8,220.48
  4. Step 4: Simplify right side
    11,940x = 135,450,493.06
  5. Step 5: Solve for x
    x = 135,450,493.06/11,940
  6. Step 6: Final answer
    x = 11,344.26

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1.5x scale

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.