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Finding the Fourth Proportional to 4,286, 5,915.04 and 2,715.32

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Solution

The fourth proportional to 4,286, 5,915.04 and 2,715.32 is: 3,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286 : 5,915.04 = 2,715.32 : x
  2. Step 2: Convert to fraction form
    4,286/5,915.04 = 2,715.32/x
  3. Step 3: Cross multiply
    4,286x = 5,915.04 × 2,715.32
  4. Step 4: Simplify right side
    4,286x = 16,061,226.41
  5. Step 5: Solve for x
    x = 16,061,226.41/4,286
  6. Step 6: Final answer
    x = 3,747.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.