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Finding the Fourth Proportional to 3,046.56, 4,205.88 and 2,382

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Solution

The fourth proportional to 3,046.56, 4,205.88 and 2,382 is: 3,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.56 : 4,205.88 = 2,382 : x
  2. Step 2: Convert to fraction form
    3,046.56/4,205.88 = 2,382/x
  3. Step 3: Cross multiply
    3,046.56x = 4,205.88 × 2,382
  4. Step 4: Simplify right side
    3,046.56x = 10,018,406.16
  5. Step 5: Solve for x
    x = 10,018,406.16/3,046.56
  6. Step 6: Final answer
    x = 3,288.43

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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.