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Finding the Fourth Proportional to 7,874.82, 11,812.23 and 5,402.14

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Solution

The fourth proportional to 7,874.82, 11,812.23 and 5,402.14 is: 8,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.82 : 11,812.23 = 5,402.14 : x
  2. Step 2: Convert to fraction form
    7,874.82/11,812.23 = 5,402.14/x
  3. Step 3: Cross multiply
    7,874.82x = 11,812.23 × 5,402.14
  4. Step 4: Simplify right side
    7,874.82x = 63,811,357.09
  5. Step 5: Solve for x
    x = 63,811,357.09/7,874.82
  6. Step 6: Final answer
    x = 8,103.21

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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.