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Finding the Fourth Proportional to 7,770.40, 11,659.20 and 4,076.80

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Solution

The fourth proportional to 7,770.40, 11,659.20 and 4,076.80 is: 6,117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.40 : 11,659.20 = 4,076.80 : x
  2. Step 2: Convert to fraction form
    7,770.40/11,659.20 = 4,076.80/x
  3. Step 3: Cross multiply
    7,770.40x = 11,659.20 × 4,076.80
  4. Step 4: Simplify right side
    7,770.40x = 47,532,226.56
  5. Step 5: Solve for x
    x = 47,532,226.56/7,770.40
  6. Step 6: Final answer
    x = 6,117.09

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1.5x scale

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.