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Finding the Fourth Proportional to 8,307.86, 12,464.14 and 3,381.03

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Solution

The fourth proportional to 8,307.86, 12,464.14 and 3,381.03 is: 5,072.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.86 : 12,464.14 = 3,381.03 : x
  2. Step 2: Convert to fraction form
    8,307.86/12,464.14 = 3,381.03/x
  3. Step 3: Cross multiply
    8,307.86x = 12,464.14 × 3,381.03
  4. Step 4: Simplify right side
    8,307.86x = 42,141,668.96
  5. Step 5: Solve for x
    x = 42,141,668.96/8,307.86
  6. Step 6: Final answer
    x = 5,072.51

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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.