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Finding the Fourth Proportional to 14,019, 21,031.38 and 5,811

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Solution

The fourth proportional to 14,019, 21,031.38 and 5,811 is: 8,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019 : 21,031.38 = 5,811 : x
  2. Step 2: Convert to fraction form
    14,019/21,031.38 = 5,811/x
  3. Step 3: Cross multiply
    14,019x = 21,031.38 × 5,811
  4. Step 4: Simplify right side
    14,019x = 122,213,349.18
  5. Step 5: Solve for x
    x = 122,213,349.18/14,019
  6. Step 6: Final answer
    x = 8,717.69

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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.