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Finding the Fourth Proportional to 2,583, 3,878.45 and 2,277.43

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Solution

The fourth proportional to 2,583, 3,878.45 and 2,277.43 is: 3,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583 : 3,878.45 = 2,277.43 : x
  2. Step 2: Convert to fraction form
    2,583/3,878.45 = 2,277.43/x
  3. Step 3: Cross multiply
    2,583x = 3,878.45 × 2,277.43
  4. Step 4: Simplify right side
    2,583x = 8,832,877.30
  5. Step 5: Solve for x
    x = 8,832,877.30/2,583
  6. Step 6: Final answer
    x = 3,419.62

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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.