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Finding the Fourth Proportional to 2,750.10, 3,794.79 and 1,570.95

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Solution

The fourth proportional to 2,750.10, 3,794.79 and 1,570.95 is: 2,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.10 : 3,794.79 = 1,570.95 : x
  2. Step 2: Convert to fraction form
    2,750.10/3,794.79 = 1,570.95/x
  3. Step 3: Cross multiply
    2,750.10x = 3,794.79 × 1,570.95
  4. Step 4: Simplify right side
    2,750.10x = 5,961,425.35
  5. Step 5: Solve for x
    x = 5,961,425.35/2,750.10
  6. Step 6: Final answer
    x = 2,167.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.