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Finding the Fourth Proportional to 8,674.31, 13,009.51 and 3,989.82

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Solution

The fourth proportional to 8,674.31, 13,009.51 and 3,989.82 is: 5,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.31 : 13,009.51 = 3,989.82 : x
  2. Step 2: Convert to fraction form
    8,674.31/13,009.51 = 3,989.82/x
  3. Step 3: Cross multiply
    8,674.31x = 13,009.51 × 3,989.82
  4. Step 4: Simplify right side
    8,674.31x = 51,905,569.33
  5. Step 5: Solve for x
    x = 51,905,569.33/8,674.31
  6. Step 6: Final answer
    x = 5,983.83

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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.