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Finding the Fourth Proportional to 18,511.59, 27,742.22 and 7,829.07

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Solution

The fourth proportional to 18,511.59, 27,742.22 and 7,829.07 is: 11,732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,511.59 : 27,742.22 = 7,829.07 : x
  2. Step 2: Convert to fraction form
    18,511.59/27,742.22 = 7,829.07/x
  3. Step 3: Cross multiply
    18,511.59x = 27,742.22 × 7,829.07
  4. Step 4: Simplify right side
    18,511.59x = 217,195,697.87
  5. Step 5: Solve for x
    x = 217,195,697.87/18,511.59
  6. Step 6: Final answer
    x = 11,732.96

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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.