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Finding the Fourth Proportional to 11,620.65, 17,430.82 and 2,855.48

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Solution

The fourth proportional to 11,620.65, 17,430.82 and 2,855.48 is: 4,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.65 : 17,430.82 = 2,855.48 : x
  2. Step 2: Convert to fraction form
    11,620.65/17,430.82 = 2,855.48/x
  3. Step 3: Cross multiply
    11,620.65x = 17,430.82 × 2,855.48
  4. Step 4: Simplify right side
    11,620.65x = 49,773,394.33
  5. Step 5: Solve for x
    x = 49,773,394.33/11,620.65
  6. Step 6: Final answer
    x = 4,283.19

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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.