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Finding the Fourth Proportional to 9,909.87, 14,855.27 and 3,668.19

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Solution

The fourth proportional to 9,909.87, 14,855.27 and 3,668.19 is: 5,498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.87 : 14,855.27 = 3,668.19 : x
  2. Step 2: Convert to fraction form
    9,909.87/14,855.27 = 3,668.19/x
  3. Step 3: Cross multiply
    9,909.87x = 14,855.27 × 3,668.19
  4. Step 4: Simplify right side
    9,909.87x = 54,491,909.76
  5. Step 5: Solve for x
    x = 54,491,909.76/9,909.87
  6. Step 6: Final answer
    x = 5,498.75

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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.