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Finding the Fourth Proportional to 18,506.75, 27,772.43 and 8,646.80

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Solution

The fourth proportional to 18,506.75, 27,772.43 and 8,646.80 is: 12,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.75 : 27,772.43 = 8,646.80 : x
  2. Step 2: Convert to fraction form
    18,506.75/27,772.43 = 8,646.80/x
  3. Step 3: Cross multiply
    18,506.75x = 27,772.43 × 8,646.80
  4. Step 4: Simplify right side
    18,506.75x = 240,142,465.63
  5. Step 5: Solve for x
    x = 240,142,465.63/18,506.75
  6. Step 6: Final answer
    x = 12,975.94

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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.