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Finding the Fourth Proportional to 5,115.80, 7,676.58 and 2,807

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Solution

The fourth proportional to 5,115.80, 7,676.58 and 2,807 is: 4,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.80 : 7,676.58 = 2,807 : x
  2. Step 2: Convert to fraction form
    5,115.80/7,676.58 = 2,807/x
  3. Step 3: Cross multiply
    5,115.80x = 7,676.58 × 2,807
  4. Step 4: Simplify right side
    5,115.80x = 21,548,160.06
  5. Step 5: Solve for x
    x = 21,548,160.06/5,115.80
  6. Step 6: Final answer
    x = 4,212.08

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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.