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Finding the Fourth Proportional to 3,878.68, 5,812.77 and 2,780.62

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Solution

The fourth proportional to 3,878.68, 5,812.77 and 2,780.62 is: 4,167.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.68 : 5,812.77 = 2,780.62 : x
  2. Step 2: Convert to fraction form
    3,878.68/5,812.77 = 2,780.62/x
  3. Step 3: Cross multiply
    3,878.68x = 5,812.77 × 2,780.62
  4. Step 4: Simplify right side
    3,878.68x = 16,163,089.99
  5. Step 5: Solve for x
    x = 16,163,089.99/3,878.68
  6. Step 6: Final answer
    x = 4,167.17

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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.