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Finding the Fourth Proportional to 8,274.25, 12,351.80 and 7,091.50

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Solution

The fourth proportional to 8,274.25, 12,351.80 and 7,091.50 is: 10,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.25 : 12,351.80 = 7,091.50 : x
  2. Step 2: Convert to fraction form
    8,274.25/12,351.80 = 7,091.50/x
  3. Step 3: Cross multiply
    8,274.25x = 12,351.80 × 7,091.50
  4. Step 4: Simplify right side
    8,274.25x = 87,592,789.70
  5. Step 5: Solve for x
    x = 87,592,789.70/8,274.25
  6. Step 6: Final answer
    x = 10,586.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.