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Finding the Fourth Proportional to 7,889.40, 11,876.84 and 7,200.50

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Solution

The fourth proportional to 7,889.40, 11,876.84 and 7,200.50 is: 10,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.40 : 11,876.84 = 7,200.50 : x
  2. Step 2: Convert to fraction form
    7,889.40/11,876.84 = 7,200.50/x
  3. Step 3: Cross multiply
    7,889.40x = 11,876.84 × 7,200.50
  4. Step 4: Simplify right side
    7,889.40x = 85,519,091.03
  5. Step 5: Solve for x
    x = 85,519,091.03/7,889.40
  6. Step 6: Final answer
    x = 10,839.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.