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Finding the Fourth Proportional to 10,855.80, 16,285.80 and 4,615.80

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Solution

The fourth proportional to 10,855.80, 16,285.80 and 4,615.80 is: 6,924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.80 : 16,285.80 = 4,615.80 : x
  2. Step 2: Convert to fraction form
    10,855.80/16,285.80 = 4,615.80/x
  3. Step 3: Cross multiply
    10,855.80x = 16,285.80 × 4,615.80
  4. Step 4: Simplify right side
    10,855.80x = 75,171,995.64
  5. Step 5: Solve for x
    x = 75,171,995.64/10,855.80
  6. Step 6: Final answer
    x = 6,924.59

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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.