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Finding the Fourth Proportional to 8,512.50, 11,747.25 and 7,014.90

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Solution

The fourth proportional to 8,512.50, 11,747.25 and 7,014.90 is: 9,680.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.50 : 11,747.25 = 7,014.90 : x
  2. Step 2: Convert to fraction form
    8,512.50/11,747.25 = 7,014.90/x
  3. Step 3: Cross multiply
    8,512.50x = 11,747.25 × 7,014.90
  4. Step 4: Simplify right side
    8,512.50x = 82,405,784.03
  5. Step 5: Solve for x
    x = 82,405,784.03/8,512.50
  6. Step 6: Final answer
    x = 9,680.56

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1.5x scale

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.