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Finding the Fourth Proportional to 21,753, 30,019.50 and 11,817

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Solution

The fourth proportional to 21,753, 30,019.50 and 11,817 is: 16,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,753 : 30,019.50 = 11,817 : x
  2. Step 2: Convert to fraction form
    21,753/30,019.50 = 11,817/x
  3. Step 3: Cross multiply
    21,753x = 30,019.50 × 11,817
  4. Step 4: Simplify right side
    21,753x = 354,740,431.50
  5. Step 5: Solve for x
    x = 354,740,431.50/21,753
  6. Step 6: Final answer
    x = 16,307.66

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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.