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Finding the Fourth Proportional to 3,955.76, 5,930.13 and 1,490.69

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Solution

The fourth proportional to 3,955.76, 5,930.13 and 1,490.69 is: 2,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.76 : 5,930.13 = 1,490.69 : x
  2. Step 2: Convert to fraction form
    3,955.76/5,930.13 = 1,490.69/x
  3. Step 3: Cross multiply
    3,955.76x = 5,930.13 × 1,490.69
  4. Step 4: Simplify right side
    3,955.76x = 8,839,955.84
  5. Step 5: Solve for x
    x = 8,839,955.84/3,955.76
  6. Step 6: Final answer
    x = 2,234.71

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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.