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Finding the Fourth Proportional to 2,495.40, 3,743.10 and 851.55

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Solution

The fourth proportional to 2,495.40, 3,743.10 and 851.55 is: 1,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.40 : 3,743.10 = 851.55 : x
  2. Step 2: Convert to fraction form
    2,495.40/3,743.10 = 851.55/x
  3. Step 3: Cross multiply
    2,495.40x = 3,743.10 × 851.55
  4. Step 4: Simplify right side
    2,495.40x = 3,187,436.81
  5. Step 5: Solve for x
    x = 3,187,436.81/2,495.40
  6. Step 6: Final answer
    x = 1,277.33

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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.