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Finding the Fourth Proportional to 3,939.84, 5,915.16 and 2,474.64

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Solution

The fourth proportional to 3,939.84, 5,915.16 and 2,474.64 is: 3,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.84 : 5,915.16 = 2,474.64 : x
  2. Step 2: Convert to fraction form
    3,939.84/5,915.16 = 2,474.64/x
  3. Step 3: Cross multiply
    3,939.84x = 5,915.16 × 2,474.64
  4. Step 4: Simplify right side
    3,939.84x = 14,637,891.54
  5. Step 5: Solve for x
    x = 14,637,891.54/3,939.84
  6. Step 6: Final answer
    x = 3,715.35

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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.