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Finding the Fourth Proportional to 11,619.30, 17,412.30 and 7,234.20

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Solution

The fourth proportional to 11,619.30, 17,412.30 and 7,234.20 is: 10,840.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,619.30 : 17,412.30 = 7,234.20 : x
  2. Step 2: Convert to fraction form
    11,619.30/17,412.30 = 7,234.20/x
  3. Step 3: Cross multiply
    11,619.30x = 17,412.30 × 7,234.20
  4. Step 4: Simplify right side
    11,619.30x = 125,964,060.66
  5. Step 5: Solve for x
    x = 125,964,060.66/11,619.30
  6. Step 6: Final answer
    x = 10,840.93

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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.