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Finding the Fourth Proportional to 19,874.92, 27,421.40 and 11,914.24

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Solution

The fourth proportional to 19,874.92, 27,421.40 and 11,914.24 is: 16,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.92 : 27,421.40 = 11,914.24 : x
  2. Step 2: Convert to fraction form
    19,874.92/27,421.40 = 11,914.24/x
  3. Step 3: Cross multiply
    19,874.92x = 27,421.40 × 11,914.24
  4. Step 4: Simplify right side
    19,874.92x = 326,704,944.06
  5. Step 5: Solve for x
    x = 326,704,944.06/19,874.92
  6. Step 6: Final answer
    x = 16,438.05

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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.