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Finding the Fourth Proportional to 8,839, 13,258.86 and 2,683

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Solution

The fourth proportional to 8,839, 13,258.86 and 2,683 is: 4,024.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,839 : 13,258.86 = 2,683 : x
  2. Step 2: Convert to fraction form
    8,839/13,258.86 = 2,683/x
  3. Step 3: Cross multiply
    8,839x = 13,258.86 × 2,683
  4. Step 4: Simplify right side
    8,839x = 35,573,521.38
  5. Step 5: Solve for x
    x = 35,573,521.38/8,839
  6. Step 6: Final answer
    x = 4,024.61

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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.