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Finding the Fourth Proportional to 6,379.68, 9,571.16 and 2,916.12

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Solution

The fourth proportional to 6,379.68, 9,571.16 and 2,916.12 is: 4,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.68 : 9,571.16 = 2,916.12 : x
  2. Step 2: Convert to fraction form
    6,379.68/9,571.16 = 2,916.12/x
  3. Step 3: Cross multiply
    6,379.68x = 9,571.16 × 2,916.12
  4. Step 4: Simplify right side
    6,379.68x = 27,910,651.10
  5. Step 5: Solve for x
    x = 27,910,651.10/6,379.68
  6. Step 6: Final answer
    x = 4,374.93

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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.