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Finding the Fourth Proportional to 3,248, 4,872 and 939.50

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Solution

The fourth proportional to 3,248, 4,872 and 939.50 is: 1,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,248 : 4,872 = 939.50 : x
  2. Step 2: Convert to fraction form
    3,248/4,872 = 939.50/x
  3. Step 3: Cross multiply
    3,248x = 4,872 × 939.50
  4. Step 4: Simplify right side
    3,248x = 4,577,244
  5. Step 5: Solve for x
    x = 4,577,244/3,248
  6. Step 6: Final answer
    x = 1,409.25

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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.