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Finding the Fourth Proportional to 18,284.80, 27,416.40 and 9,536.80

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Solution

The fourth proportional to 18,284.80, 27,416.40 and 9,536.80 is: 14,299.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284.80 : 27,416.40 = 9,536.80 : x
  2. Step 2: Convert to fraction form
    18,284.80/27,416.40 = 9,536.80/x
  3. Step 3: Cross multiply
    18,284.80x = 27,416.40 × 9,536.80
  4. Step 4: Simplify right side
    18,284.80x = 261,464,723.52
  5. Step 5: Solve for x
    x = 261,464,723.52/18,284.80
  6. Step 6: Final answer
    x = 14,299.57

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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.