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Finding the Fourth Proportional to 3,443.94, 4,752.39 and 1,872

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Solution

The fourth proportional to 3,443.94, 4,752.39 and 1,872 is: 2,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.94 : 4,752.39 = 1,872 : x
  2. Step 2: Convert to fraction form
    3,443.94/4,752.39 = 1,872/x
  3. Step 3: Cross multiply
    3,443.94x = 4,752.39 × 1,872
  4. Step 4: Simplify right side
    3,443.94x = 8,896,474.08
  5. Step 5: Solve for x
    x = 8,896,474.08/3,443.94
  6. Step 6: Final answer
    x = 2,583.23

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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.