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Finding the Fourth Proportional to 9,899.80, 14,855.17 and 5,519.73

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Solution

The fourth proportional to 9,899.80, 14,855.17 and 5,519.73 is: 8,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.80 : 14,855.17 = 5,519.73 : x
  2. Step 2: Convert to fraction form
    9,899.80/14,855.17 = 5,519.73/x
  3. Step 3: Cross multiply
    9,899.80x = 14,855.17 × 5,519.73
  4. Step 4: Simplify right side
    9,899.80x = 81,996,527.50
  5. Step 5: Solve for x
    x = 81,996,527.50/9,899.80
  6. Step 6: Final answer
    x = 8,282.64

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1.5x scale

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.