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Finding the Fourth Proportional to 3,243, 4,865.28 and 934.48

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Solution

The fourth proportional to 3,243, 4,865.28 and 934.48 is: 1,401.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243 : 4,865.28 = 934.48 : x
  2. Step 2: Convert to fraction form
    3,243/4,865.28 = 934.48/x
  3. Step 3: Cross multiply
    3,243x = 4,865.28 × 934.48
  4. Step 4: Simplify right side
    3,243x = 4,546,506.85
  5. Step 5: Solve for x
    x = 4,546,506.85/3,243
  6. Step 6: Final answer
    x = 1,401.94

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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.