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Finding the Fourth Proportional to 4,384.05, 6,578.11 and 1,918.55

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Solution

The fourth proportional to 4,384.05, 6,578.11 and 1,918.55 is: 2,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.05 : 6,578.11 = 1,918.55 : x
  2. Step 2: Convert to fraction form
    4,384.05/6,578.11 = 1,918.55/x
  3. Step 3: Cross multiply
    4,384.05x = 6,578.11 × 1,918.55
  4. Step 4: Simplify right side
    4,384.05x = 12,620,411.70
  5. Step 5: Solve for x
    x = 12,620,411.70/4,384.05
  6. Step 6: Final answer
    x = 2,878.71

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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.