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Finding the Fourth Proportional to 2,750.43, 4,125.65 and 670.42

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Solution

The fourth proportional to 2,750.43, 4,125.65 and 670.42 is: 1,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.43 : 4,125.65 = 670.42 : x
  2. Step 2: Convert to fraction form
    2,750.43/4,125.65 = 670.42/x
  3. Step 3: Cross multiply
    2,750.43x = 4,125.65 × 670.42
  4. Step 4: Simplify right side
    2,750.43x = 2,765,920.08
  5. Step 5: Solve for x
    x = 2,765,920.08/2,750.43
  6. Step 6: Final answer
    x = 1,005.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.