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Finding the Fourth Proportional to 4,515, 6,773.85 and 1,918.14

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Solution

The fourth proportional to 4,515, 6,773.85 and 1,918.14 is: 2,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,515 : 6,773.85 = 1,918.14 : x
  2. Step 2: Convert to fraction form
    4,515/6,773.85 = 1,918.14/x
  3. Step 3: Cross multiply
    4,515x = 6,773.85 × 1,918.14
  4. Step 4: Simplify right side
    4,515x = 12,993,192.64
  5. Step 5: Solve for x
    x = 12,993,192.64/4,515
  6. Step 6: Final answer
    x = 2,877.78

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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.