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Finding the Fourth Proportional to 2,369.88, 3,554.81 and 638.50

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Solution

The fourth proportional to 2,369.88, 3,554.81 and 638.50 is: 957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.88 : 3,554.81 = 638.50 : x
  2. Step 2: Convert to fraction form
    2,369.88/3,554.81 = 638.50/x
  3. Step 3: Cross multiply
    2,369.88x = 3,554.81 × 638.50
  4. Step 4: Simplify right side
    2,369.88x = 2,269,747.78
  5. Step 5: Solve for x
    x = 2,269,747.78/2,369.88
  6. Step 6: Final answer
    x = 957.75

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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.