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Finding the Fourth Proportional to 7,666.29, 11,494.08 and 3,919.21

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Solution

The fourth proportional to 7,666.29, 11,494.08 and 3,919.21 is: 5,876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.29 : 11,494.08 = 3,919.21 : x
  2. Step 2: Convert to fraction form
    7,666.29/11,494.08 = 3,919.21/x
  3. Step 3: Cross multiply
    7,666.29x = 11,494.08 × 3,919.21
  4. Step 4: Simplify right side
    7,666.29x = 45,047,684.54
  5. Step 5: Solve for x
    x = 45,047,684.54/7,666.29
  6. Step 6: Final answer
    x = 5,876.07

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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.