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Finding the Fourth Proportional to 2,495.54, 3,743.10 and 764

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Solution

The fourth proportional to 2,495.54, 3,743.10 and 764 is: 1,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.54 : 3,743.10 = 764 : x
  2. Step 2: Convert to fraction form
    2,495.54/3,743.10 = 764/x
  3. Step 3: Cross multiply
    2,495.54x = 3,743.10 × 764
  4. Step 4: Simplify right side
    2,495.54x = 2,859,728.40
  5. Step 5: Solve for x
    x = 2,859,728.40/2,495.54
  6. Step 6: Final answer
    x = 1,145.94

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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.