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Finding the Fourth Proportional to 7,677.76, 11,516.64 and 5,080.09

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Solution

The fourth proportional to 7,677.76, 11,516.64 and 5,080.09 is: 7,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.76 : 11,516.64 = 5,080.09 : x
  2. Step 2: Convert to fraction form
    7,677.76/11,516.64 = 5,080.09/x
  3. Step 3: Cross multiply
    7,677.76x = 11,516.64 × 5,080.09
  4. Step 4: Simplify right side
    7,677.76x = 58,505,567.70
  5. Step 5: Solve for x
    x = 58,505,567.70/7,677.76
  6. Step 6: Final answer
    x = 7,620.14

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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.