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Finding the Fourth Proportional to 7,884.21, 11,790.81 and 7,011.84

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Solution

The fourth proportional to 7,884.21, 11,790.81 and 7,011.84 is: 10,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.21 : 11,790.81 = 7,011.84 : x
  2. Step 2: Convert to fraction form
    7,884.21/11,790.81 = 7,011.84/x
  3. Step 3: Cross multiply
    7,884.21x = 11,790.81 × 7,011.84
  4. Step 4: Simplify right side
    7,884.21x = 82,675,273.19
  5. Step 5: Solve for x
    x = 82,675,273.19/7,884.21
  6. Step 6: Final answer
    x = 10,486.18

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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.