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Finding the Fourth Proportional to 19,697, 27,181.86 and 10,865

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Solution

The fourth proportional to 19,697, 27,181.86 and 10,865 is: 14,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697 : 27,181.86 = 10,865 : x
  2. Step 2: Convert to fraction form
    19,697/27,181.86 = 10,865/x
  3. Step 3: Cross multiply
    19,697x = 27,181.86 × 10,865
  4. Step 4: Simplify right side
    19,697x = 295,330,908.90
  5. Step 5: Solve for x
    x = 295,330,908.90/19,697
  6. Step 6: Final answer
    x = 14,993.70

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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.