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Finding the Fourth Proportional to 4,449, 6,132.49 and 3,012.91

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Solution

The fourth proportional to 4,449, 6,132.49 and 3,012.91 is: 4,152.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449 : 6,132.49 = 3,012.91 : x
  2. Step 2: Convert to fraction form
    4,449/6,132.49 = 3,012.91/x
  3. Step 3: Cross multiply
    4,449x = 6,132.49 × 3,012.91
  4. Step 4: Simplify right side
    4,449x = 18,476,640.45
  5. Step 5: Solve for x
    x = 18,476,640.45/4,449
  6. Step 6: Final answer
    x = 4,152.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.