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Finding the Fourth Proportional to 1,772.62, 2,448.03 and 1,329.82

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Solution

The fourth proportional to 1,772.62, 2,448.03 and 1,329.82 is: 1,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.62 : 2,448.03 = 1,329.82 : x
  2. Step 2: Convert to fraction form
    1,772.62/2,448.03 = 1,329.82/x
  3. Step 3: Cross multiply
    1,772.62x = 2,448.03 × 1,329.82
  4. Step 4: Simplify right side
    1,772.62x = 3,255,439.25
  5. Step 5: Solve for x
    x = 3,255,439.25/1,772.62
  6. Step 6: Final answer
    x = 1,836.51

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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.