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Finding the Fourth Proportional to 4,553.75, 6,829.10 and 1,779.70

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Solution

The fourth proportional to 4,553.75, 6,829.10 and 1,779.70 is: 2,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.75 : 6,829.10 = 1,779.70 : x
  2. Step 2: Convert to fraction form
    4,553.75/6,829.10 = 1,779.70/x
  3. Step 3: Cross multiply
    4,553.75x = 6,829.10 × 1,779.70
  4. Step 4: Simplify right side
    4,553.75x = 12,153,749.27
  5. Step 5: Solve for x
    x = 12,153,749.27/4,553.75
  6. Step 6: Final answer
    x = 2,668.95

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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.