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Finding the Fourth Proportional to 18,419, 27,595.74 and 10,611.68

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Solution

The fourth proportional to 18,419, 27,595.74 and 10,611.68 is: 15,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,419 : 27,595.74 = 10,611.68 : x
  2. Step 2: Convert to fraction form
    18,419/27,595.74 = 10,611.68/x
  3. Step 3: Cross multiply
    18,419x = 27,595.74 × 10,611.68
  4. Step 4: Simplify right side
    18,419x = 292,837,162.24
  5. Step 5: Solve for x
    x = 292,837,162.24/18,419
  6. Step 6: Final answer
    x = 15,898.65

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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.