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Finding the Fourth Proportional to 9,900.14, 13,668.53 and 8,836.07

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Solution

The fourth proportional to 9,900.14, 13,668.53 and 8,836.07 is: 12,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.14 : 13,668.53 = 8,836.07 : x
  2. Step 2: Convert to fraction form
    9,900.14/13,668.53 = 8,836.07/x
  3. Step 3: Cross multiply
    9,900.14x = 13,668.53 × 8,836.07
  4. Step 4: Simplify right side
    9,900.14x = 120,775,975.35
  5. Step 5: Solve for x
    x = 120,775,975.35/9,900.14
  6. Step 6: Final answer
    x = 12,199.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.