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Finding the Fourth Proportional to 11,857.14, 17,788.28 and 6,309.67

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Solution

The fourth proportional to 11,857.14, 17,788.28 and 6,309.67 is: 9,465.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.14 : 17,788.28 = 6,309.67 : x
  2. Step 2: Convert to fraction form
    11,857.14/17,788.28 = 6,309.67/x
  3. Step 3: Cross multiply
    11,857.14x = 17,788.28 × 6,309.67
  4. Step 4: Simplify right side
    11,857.14x = 112,238,134.00
  5. Step 5: Solve for x
    x = 112,238,134.00/11,857.14
  6. Step 6: Final answer
    x = 9,465.87

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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.