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Finding the Fourth Proportional to 5,677.60, 8,519 and 2,558.48

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Solution

The fourth proportional to 5,677.60, 8,519 and 2,558.48 is: 3,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.60 : 8,519 = 2,558.48 : x
  2. Step 2: Convert to fraction form
    5,677.60/8,519 = 2,558.48/x
  3. Step 3: Cross multiply
    5,677.60x = 8,519 × 2,558.48
  4. Step 4: Simplify right side
    5,677.60x = 21,795,691.12
  5. Step 5: Solve for x
    x = 21,795,691.12/5,677.60
  6. Step 6: Final answer
    x = 3,838.89

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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.