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Finding the Fourth Proportional to 7,882.06, 11,812.29 and 7,645.54

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Solution

The fourth proportional to 7,882.06, 11,812.29 and 7,645.54 is: 11,457.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.06 : 11,812.29 = 7,645.54 : x
  2. Step 2: Convert to fraction form
    7,882.06/11,812.29 = 7,645.54/x
  3. Step 3: Cross multiply
    7,882.06x = 11,812.29 × 7,645.54
  4. Step 4: Simplify right side
    7,882.06x = 90,311,335.69
  5. Step 5: Solve for x
    x = 90,311,335.69/7,882.06
  6. Step 6: Final answer
    x = 11,457.83

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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.