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Finding the Fourth Proportional to 11,830.15, 17,730.15 and 6,286.15

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Solution

The fourth proportional to 11,830.15, 17,730.15 and 6,286.15 is: 9,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.15 : 17,730.15 = 6,286.15 : x
  2. Step 2: Convert to fraction form
    11,830.15/17,730.15 = 6,286.15/x
  3. Step 3: Cross multiply
    11,830.15x = 17,730.15 × 6,286.15
  4. Step 4: Simplify right side
    11,830.15x = 111,454,382.42
  5. Step 5: Solve for x
    x = 111,454,382.42/11,830.15
  6. Step 6: Final answer
    x = 9,421.21

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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.