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Finding the Fourth Proportional to 3,955.42, 5,455.94 and 2,382

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Solution

The fourth proportional to 3,955.42, 5,455.94 and 2,382 is: 3,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.42 : 5,455.94 = 2,382 : x
  2. Step 2: Convert to fraction form
    3,955.42/5,455.94 = 2,382/x
  3. Step 3: Cross multiply
    3,955.42x = 5,455.94 × 2,382
  4. Step 4: Simplify right side
    3,955.42x = 12,996,049.08
  5. Step 5: Solve for x
    x = 12,996,049.08/3,955.42
  6. Step 6: Final answer
    x = 3,285.63

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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.