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Finding the Fourth Proportional to 7,682.80, 11,495.40 and 6,991.60

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Solution

The fourth proportional to 7,682.80, 11,495.40 and 6,991.60 is: 10,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.80 : 11,495.40 = 6,991.60 : x
  2. Step 2: Convert to fraction form
    7,682.80/11,495.40 = 6,991.60/x
  3. Step 3: Cross multiply
    7,682.80x = 11,495.40 × 6,991.60
  4. Step 4: Simplify right side
    7,682.80x = 80,371,238.64
  5. Step 5: Solve for x
    x = 80,371,238.64/7,682.80
  6. Step 6: Final answer
    x = 10,461.19

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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.