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Finding the Fourth Proportional to 12,517.50, 18,776.25 and 3,283.50

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Solution

The fourth proportional to 12,517.50, 18,776.25 and 3,283.50 is: 4,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,517.50 : 18,776.25 = 3,283.50 : x
  2. Step 2: Convert to fraction form
    12,517.50/18,776.25 = 3,283.50/x
  3. Step 3: Cross multiply
    12,517.50x = 18,776.25 × 3,283.50
  4. Step 4: Simplify right side
    12,517.50x = 61,651,816.88
  5. Step 5: Solve for x
    x = 61,651,816.88/12,517.50
  6. Step 6: Final answer
    x = 4,925.25

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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.