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Finding the Fourth Proportional to 5,161.64, 7,720.50 and 3,076.88

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Solution

The fourth proportional to 5,161.64, 7,720.50 and 3,076.88 is: 4,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,161.64 : 7,720.50 = 3,076.88 : x
  2. Step 2: Convert to fraction form
    5,161.64/7,720.50 = 3,076.88/x
  3. Step 3: Cross multiply
    5,161.64x = 7,720.50 × 3,076.88
  4. Step 4: Simplify right side
    5,161.64x = 23,755,052.04
  5. Step 5: Solve for x
    x = 23,755,052.04/5,161.64
  6. Step 6: Final answer
    x = 4,602.23

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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.