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Finding the Fourth Proportional to 34,683, 51,993.27 and 12,480.77

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Solution

The fourth proportional to 34,683, 51,993.27 and 12,480.77 is: 18,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,683 : 51,993.27 = 12,480.77 : x
  2. Step 2: Convert to fraction form
    34,683/51,993.27 = 12,480.77/x
  3. Step 3: Cross multiply
    34,683x = 51,993.27 × 12,480.77
  4. Step 4: Simplify right side
    34,683x = 648,915,784.45
  5. Step 5: Solve for x
    x = 648,915,784.45/34,683
  6. Step 6: Final answer
    x = 18,709.91

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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.