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Finding the Fourth Proportional to 13,957.92, 19,243.20 and 11,959.84

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Solution

The fourth proportional to 13,957.92, 19,243.20 and 11,959.84 is: 16,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.92 : 19,243.20 = 11,959.84 : x
  2. Step 2: Convert to fraction form
    13,957.92/19,243.20 = 11,959.84/x
  3. Step 3: Cross multiply
    13,957.92x = 19,243.20 × 11,959.84
  4. Step 4: Simplify right side
    13,957.92x = 230,145,593.09
  5. Step 5: Solve for x
    x = 230,145,593.09/13,957.92
  6. Step 6: Final answer
    x = 16,488.53

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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.