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Finding the Fourth Proportional to 11,920.54, 16,446.54 and 7,942.36

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Solution

The fourth proportional to 11,920.54, 16,446.54 and 7,942.36 is: 10,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.54 : 16,446.54 = 7,942.36 : x
  2. Step 2: Convert to fraction form
    11,920.54/16,446.54 = 7,942.36/x
  3. Step 3: Cross multiply
    11,920.54x = 16,446.54 × 7,942.36
  4. Step 4: Simplify right side
    11,920.54x = 130,624,341.43
  5. Step 5: Solve for x
    x = 130,624,341.43/11,920.54
  6. Step 6: Final answer
    x = 10,957.92

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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.