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Finding the Fourth Proportional to 10,926, 16,389 and 4,000.50

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Solution

The fourth proportional to 10,926, 16,389 and 4,000.50 is: 6,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,926 : 16,389 = 4,000.50 : x
  2. Step 2: Convert to fraction form
    10,926/16,389 = 4,000.50/x
  3. Step 3: Cross multiply
    10,926x = 16,389 × 4,000.50
  4. Step 4: Simplify right side
    10,926x = 65,564,194.50
  5. Step 5: Solve for x
    x = 65,564,194.50/10,926
  6. Step 6: Final answer
    x = 6,000.75

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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.