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Finding the Fourth Proportional to 11,842.30, 17,730.24 and 7,671.88

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Solution

The fourth proportional to 11,842.30, 17,730.24 and 7,671.88 is: 11,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.30 : 17,730.24 = 7,671.88 : x
  2. Step 2: Convert to fraction form
    11,842.30/17,730.24 = 7,671.88/x
  3. Step 3: Cross multiply
    11,842.30x = 17,730.24 × 7,671.88
  4. Step 4: Simplify right side
    11,842.30x = 136,024,273.65
  5. Step 5: Solve for x
    x = 136,024,273.65/11,842.30
  6. Step 6: Final answer
    x = 11,486.31

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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.