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Finding the Fourth Proportional to 4,170.50, 6,257.50 and 1,829.29

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Solution

The fourth proportional to 4,170.50, 6,257.50 and 1,829.29 is: 2,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.50 : 6,257.50 = 1,829.29 : x
  2. Step 2: Convert to fraction form
    4,170.50/6,257.50 = 1,829.29/x
  3. Step 3: Cross multiply
    4,170.50x = 6,257.50 × 1,829.29
  4. Step 4: Simplify right side
    4,170.50x = 11,446,782.18
  5. Step 5: Solve for x
    x = 11,446,782.18/4,170.50
  6. Step 6: Final answer
    x = 2,744.70

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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.