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Finding the Fourth Proportional to 12,761.72, 17,610 and 7,095.84

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Solution

The fourth proportional to 12,761.72, 17,610 and 7,095.84 is: 9,791.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.72 : 17,610 = 7,095.84 : x
  2. Step 2: Convert to fraction form
    12,761.72/17,610 = 7,095.84/x
  3. Step 3: Cross multiply
    12,761.72x = 17,610 × 7,095.84
  4. Step 4: Simplify right side
    12,761.72x = 124,957,742.40
  5. Step 5: Solve for x
    x = 124,957,742.40/12,761.72
  6. Step 6: Final answer
    x = 9,791.61

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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.