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Finding the Fourth Proportional to 12,721.16, 17,552.93 and 7,682

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Solution

The fourth proportional to 12,721.16, 17,552.93 and 7,682 is: 10,599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,721.16 : 17,552.93 = 7,682 : x
  2. Step 2: Convert to fraction form
    12,721.16/17,552.93 = 7,682/x
  3. Step 3: Cross multiply
    12,721.16x = 17,552.93 × 7,682
  4. Step 4: Simplify right side
    12,721.16x = 134,841,608.26
  5. Step 5: Solve for x
    x = 134,841,608.26/12,721.16
  6. Step 6: Final answer
    x = 10,599.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.