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Finding the Fourth Proportional to 9,141.74, 13,709.90 and 3,876.68

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Solution

The fourth proportional to 9,141.74, 13,709.90 and 3,876.68 is: 5,813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.74 : 13,709.90 = 3,876.68 : x
  2. Step 2: Convert to fraction form
    9,141.74/13,709.90 = 3,876.68/x
  3. Step 3: Cross multiply
    9,141.74x = 13,709.90 × 3,876.68
  4. Step 4: Simplify right side
    9,141.74x = 53,148,807.20
  5. Step 5: Solve for x
    x = 53,148,807.20/9,141.74
  6. Step 6: Final answer
    x = 5,813.86

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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.