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Finding the Fourth Proportional to 7,757.51, 11,636.48 and 2,830.83

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Solution

The fourth proportional to 7,757.51, 11,636.48 and 2,830.83 is: 4,246.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.51 : 11,636.48 = 2,830.83 : x
  2. Step 2: Convert to fraction form
    7,757.51/11,636.48 = 2,830.83/x
  3. Step 3: Cross multiply
    7,757.51x = 11,636.48 × 2,830.83
  4. Step 4: Simplify right side
    7,757.51x = 32,940,882.52
  5. Step 5: Solve for x
    x = 32,940,882.52/7,757.51
  6. Step 6: Final answer
    x = 4,246.32

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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.