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Finding the Fourth Proportional to 12,151.94, 16,771.79 and 7,674.26

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Solution

The fourth proportional to 12,151.94, 16,771.79 and 7,674.26 is: 10,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.94 : 16,771.79 = 7,674.26 : x
  2. Step 2: Convert to fraction form
    12,151.94/16,771.79 = 7,674.26/x
  3. Step 3: Cross multiply
    12,151.94x = 16,771.79 × 7,674.26
  4. Step 4: Simplify right side
    12,151.94x = 128,711,012.45
  5. Step 5: Solve for x
    x = 128,711,012.45/12,151.94
  6. Step 6: Final answer
    x = 10,591.81

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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.