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Finding the Fourth Proportional to 10,817, 16,226.30 and 4,661

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Solution

The fourth proportional to 10,817, 16,226.30 and 4,661 is: 6,991.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817 : 16,226.30 = 4,661 : x
  2. Step 2: Convert to fraction form
    10,817/16,226.30 = 4,661/x
  3. Step 3: Cross multiply
    10,817x = 16,226.30 × 4,661
  4. Step 4: Simplify right side
    10,817x = 75,630,784.30
  5. Step 5: Solve for x
    x = 75,630,784.30/10,817
  6. Step 6: Final answer
    x = 6,991.84

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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.