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Finding the Fourth Proportional to 7,606.80, 11,410.20 and 6,829.20

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Solution

The fourth proportional to 7,606.80, 11,410.20 and 6,829.20 is: 10,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.80 : 11,410.20 = 6,829.20 : x
  2. Step 2: Convert to fraction form
    7,606.80/11,410.20 = 6,829.20/x
  3. Step 3: Cross multiply
    7,606.80x = 11,410.20 × 6,829.20
  4. Step 4: Simplify right side
    7,606.80x = 77,922,537.84
  5. Step 5: Solve for x
    x = 77,922,537.84/7,606.80
  6. Step 6: Final answer
    x = 10,243.80

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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.