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Finding the Fourth Proportional to 9,761.76, 14,644.48 and 3,918.82

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Solution

The fourth proportional to 9,761.76, 14,644.48 and 3,918.82 is: 5,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.76 : 14,644.48 = 3,918.82 : x
  2. Step 2: Convert to fraction form
    9,761.76/14,644.48 = 3,918.82/x
  3. Step 3: Cross multiply
    9,761.76x = 14,644.48 × 3,918.82
  4. Step 4: Simplify right side
    9,761.76x = 57,389,081.11
  5. Step 5: Solve for x
    x = 57,389,081.11/9,761.76
  6. Step 6: Final answer
    x = 5,878.97

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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.