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Finding the Fourth Proportional to 3,150, 4,725.62 and 1,765.30

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Solution

The fourth proportional to 3,150, 4,725.62 and 1,765.30 is: 2,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150 : 4,725.62 = 1,765.30 : x
  2. Step 2: Convert to fraction form
    3,150/4,725.62 = 1,765.30/x
  3. Step 3: Cross multiply
    3,150x = 4,725.62 × 1,765.30
  4. Step 4: Simplify right side
    3,150x = 8,342,136.99
  5. Step 5: Solve for x
    x = 8,342,136.99/3,150
  6. Step 6: Final answer
    x = 2,648.30

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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.