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Finding the Fourth Proportional to 9,011.67, 13,519.94 and 8,144.16

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Solution

The fourth proportional to 9,011.67, 13,519.94 and 8,144.16 is: 12,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.67 : 13,519.94 = 8,144.16 : x
  2. Step 2: Convert to fraction form
    9,011.67/13,519.94 = 8,144.16/x
  3. Step 3: Cross multiply
    9,011.67x = 13,519.94 × 8,144.16
  4. Step 4: Simplify right side
    9,011.67x = 110,108,554.55
  5. Step 5: Solve for x
    x = 110,108,554.55/9,011.67
  6. Step 6: Final answer
    x = 12,218.44

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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.