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Finding the Fourth Proportional to 2,548.91, 3,821.91 and 1,509.05

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Solution

The fourth proportional to 2,548.91, 3,821.91 and 1,509.05 is: 2,262.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.91 : 3,821.91 = 1,509.05 : x
  2. Step 2: Convert to fraction form
    2,548.91/3,821.91 = 1,509.05/x
  3. Step 3: Cross multiply
    2,548.91x = 3,821.91 × 1,509.05
  4. Step 4: Simplify right side
    2,548.91x = 5,767,434.18
  5. Step 5: Solve for x
    x = 5,767,434.18/2,548.91
  6. Step 6: Final answer
    x = 2,262.71

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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.