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Finding the Third Proportional to 4,239.84 and 4,877.72

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Solution

The third proportional to 4,239.84 and 4,877.72 is: 5,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239.84 : 4,877.72 = 4,877.72 : x
  2. Step 2: Convert to fraction form
    4,239.84/4,877.72 = 4,877.72/x
  3. Step 3: Cross multiply
    4,239.84x = 4,877.72 × 4,877.72
  4. Step 4: Simplify right side
    4,239.84x = 23,792,140.20
  5. Step 5: Solve for x
    x = 23,792,140.20/4,239.84
  6. Step 6: Final answer
    x = 5,611.56

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.