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Finding the Fourth Proportional to 11,427, 17,141.88 and 4,029.94

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Solution

The fourth proportional to 11,427, 17,141.88 and 4,029.94 is: 6,045.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427 : 17,141.88 = 4,029.94 : x
  2. Step 2: Convert to fraction form
    11,427/17,141.88 = 4,029.94/x
  3. Step 3: Cross multiply
    11,427x = 17,141.88 × 4,029.94
  4. Step 4: Simplify right side
    11,427x = 69,080,747.89
  5. Step 5: Solve for x
    x = 69,080,747.89/11,427
  6. Step 6: Final answer
    x = 6,045.40

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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.