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Finding the Fourth Proportional to 12,941.85, 17,853.44 and 8,227.65

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Solution

The fourth proportional to 12,941.85, 17,853.44 and 8,227.65 is: 11,350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,941.85 : 17,853.44 = 8,227.65 : x
  2. Step 2: Convert to fraction form
    12,941.85/17,853.44 = 8,227.65/x
  3. Step 3: Cross multiply
    12,941.85x = 17,853.44 × 8,227.65
  4. Step 4: Simplify right side
    12,941.85x = 146,891,814.48
  5. Step 5: Solve for x
    x = 146,891,814.48/12,941.85
  6. Step 6: Final answer
    x = 11,350.14

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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.