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Finding the Fourth Proportional to 18,548.20, 27,822.30 and 13,007.80

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Solution

The fourth proportional to 18,548.20, 27,822.30 and 13,007.80 is: 19,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,548.20 : 27,822.30 = 13,007.80 : x
  2. Step 2: Convert to fraction form
    18,548.20/27,822.30 = 13,007.80/x
  3. Step 3: Cross multiply
    18,548.20x = 27,822.30 × 13,007.80
  4. Step 4: Simplify right side
    18,548.20x = 361,906,913.94
  5. Step 5: Solve for x
    x = 361,906,913.94/18,548.20
  6. Step 6: Final answer
    x = 19,511.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.