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Finding the Fourth Proportional to 3,642.94, 5,465.07 and 2,257.84

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Solution

The fourth proportional to 3,642.94, 5,465.07 and 2,257.84 is: 3,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.94 : 5,465.07 = 2,257.84 : x
  2. Step 2: Convert to fraction form
    3,642.94/5,465.07 = 2,257.84/x
  3. Step 3: Cross multiply
    3,642.94x = 5,465.07 × 2,257.84
  4. Step 4: Simplify right side
    3,642.94x = 12,339,260.48
  5. Step 5: Solve for x
    x = 12,339,260.48/3,642.94
  6. Step 6: Final answer
    x = 3,387.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.