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Finding the Fourth Proportional to 12,251.50, 16,907.34 and 6,662.50

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Solution

The fourth proportional to 12,251.50, 16,907.34 and 6,662.50 is: 9,194.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.50 : 16,907.34 = 6,662.50 : x
  2. Step 2: Convert to fraction form
    12,251.50/16,907.34 = 6,662.50/x
  3. Step 3: Cross multiply
    12,251.50x = 16,907.34 × 6,662.50
  4. Step 4: Simplify right side
    12,251.50x = 112,645,152.75
  5. Step 5: Solve for x
    x = 112,645,152.75/12,251.50
  6. Step 6: Final answer
    x = 9,194.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.