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Finding the Fourth Proportional to 11,451.68, 17,040.34 and 11,412.80

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Solution

The fourth proportional to 11,451.68, 17,040.34 and 11,412.80 is: 16,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.68 : 17,040.34 = 11,412.80 : x
  2. Step 2: Convert to fraction form
    11,451.68/17,040.34 = 11,412.80/x
  3. Step 3: Cross multiply
    11,451.68x = 17,040.34 × 11,412.80
  4. Step 4: Simplify right side
    11,451.68x = 194,477,992.35
  5. Step 5: Solve for x
    x = 194,477,992.35/11,451.68
  6. Step 6: Final answer
    x = 16,982.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.