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Finding the Fourth Proportional to 2,750.57, 4,125.80 and 670.59

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Solution

The fourth proportional to 2,750.57, 4,125.80 and 670.59 is: 1,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.57 : 4,125.80 = 670.59 : x
  2. Step 2: Convert to fraction form
    2,750.57/4,125.80 = 670.59/x
  3. Step 3: Cross multiply
    2,750.57x = 4,125.80 × 670.59
  4. Step 4: Simplify right side
    2,750.57x = 2,766,720.22
  5. Step 5: Solve for x
    x = 2,766,720.22/2,750.57
  6. Step 6: Final answer
    x = 1,005.87

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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.