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Finding the Fourth Proportional to 11,487.80, 17,231.70 and 4,914.65

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Solution

The fourth proportional to 11,487.80, 17,231.70 and 4,914.65 is: 7,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.80 : 17,231.70 = 4,914.65 : x
  2. Step 2: Convert to fraction form
    11,487.80/17,231.70 = 4,914.65/x
  3. Step 3: Cross multiply
    11,487.80x = 17,231.70 × 4,914.65
  4. Step 4: Simplify right side
    11,487.80x = 84,687,774.41
  5. Step 5: Solve for x
    x = 84,687,774.41/11,487.80
  6. Step 6: Final answer
    x = 7,371.98

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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.