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Finding the Fourth Proportional to 5,678, 8,509.79 and 2,554.66

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Solution

The fourth proportional to 5,678, 8,509.79 and 2,554.66 is: 3,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678 : 8,509.79 = 2,554.66 : x
  2. Step 2: Convert to fraction form
    5,678/8,509.79 = 2,554.66/x
  3. Step 3: Cross multiply
    5,678x = 8,509.79 × 2,554.66
  4. Step 4: Simplify right side
    5,678x = 21,739,620.12
  5. Step 5: Solve for x
    x = 21,739,620.12/5,678
  6. Step 6: Final answer
    x = 3,828.75

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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.