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Finding the Fourth Proportional to 4,145, 6,219.94 and 1,836.52

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Solution

The fourth proportional to 4,145, 6,219.94 and 1,836.52 is: 2,755.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145 : 6,219.94 = 1,836.52 : x
  2. Step 2: Convert to fraction form
    4,145/6,219.94 = 1,836.52/x
  3. Step 3: Cross multiply
    4,145x = 6,219.94 × 1,836.52
  4. Step 4: Simplify right side
    4,145x = 11,423,044.21
  5. Step 5: Solve for x
    x = 11,423,044.21/4,145
  6. Step 6: Final answer
    x = 2,755.86

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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.