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Finding the Fourth Proportional to 18,442.68, 27,638.10 and 13,828.92

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Solution

The fourth proportional to 18,442.68, 27,638.10 and 13,828.92 is: 20,723.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,442.68 : 27,638.10 = 13,828.92 : x
  2. Step 2: Convert to fraction form
    18,442.68/27,638.10 = 13,828.92/x
  3. Step 3: Cross multiply
    18,442.68x = 27,638.10 × 13,828.92
  4. Step 4: Simplify right side
    18,442.68x = 382,205,073.85
  5. Step 5: Solve for x
    x = 382,205,073.85/18,442.68
  6. Step 6: Final answer
    x = 20,723.94

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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.