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Finding the Fourth Proportional to 7,729.80, 10,660.50 and 6,048.60

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Solution

The fourth proportional to 7,729.80, 10,660.50 and 6,048.60 is: 8,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.80 : 10,660.50 = 6,048.60 : x
  2. Step 2: Convert to fraction form
    7,729.80/10,660.50 = 6,048.60/x
  3. Step 3: Cross multiply
    7,729.80x = 10,660.50 × 6,048.60
  4. Step 4: Simplify right side
    7,729.80x = 64,481,100.30
  5. Step 5: Solve for x
    x = 64,481,100.30/7,729.80
  6. Step 6: Final answer
    x = 8,341.88

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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.