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Finding the Fourth Proportional to 2,505.86, 3,760 and 966.50

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Solution

The fourth proportional to 2,505.86, 3,760 and 966.50 is: 1,450.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.86 : 3,760 = 966.50 : x
  2. Step 2: Convert to fraction form
    2,505.86/3,760 = 966.50/x
  3. Step 3: Cross multiply
    2,505.86x = 3,760 × 966.50
  4. Step 4: Simplify right side
    2,505.86x = 3,634,040
  5. Step 5: Solve for x
    x = 3,634,040/2,505.86
  6. Step 6: Final answer
    x = 1,450.22

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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.