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Finding the Fourth Proportional to 12,416.70, 17,133.15 and 7,380.81

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Solution

The fourth proportional to 12,416.70, 17,133.15 and 7,380.81 is: 10,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.70 : 17,133.15 = 7,380.81 : x
  2. Step 2: Convert to fraction form
    12,416.70/17,133.15 = 7,380.81/x
  3. Step 3: Cross multiply
    12,416.70x = 17,133.15 × 7,380.81
  4. Step 4: Simplify right side
    12,416.70x = 126,456,524.85
  5. Step 5: Solve for x
    x = 126,456,524.85/12,416.70
  6. Step 6: Final answer
    x = 10,184.39

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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.