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Finding the Fourth Proportional to 3,114.72, 4,671 and 1,469.88

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Solution

The fourth proportional to 3,114.72, 4,671 and 1,469.88 is: 2,204.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.72 : 4,671 = 1,469.88 : x
  2. Step 2: Convert to fraction form
    3,114.72/4,671 = 1,469.88/x
  3. Step 3: Cross multiply
    3,114.72x = 4,671 × 1,469.88
  4. Step 4: Simplify right side
    3,114.72x = 6,865,809.48
  5. Step 5: Solve for x
    x = 6,865,809.48/3,114.72
  6. Step 6: Final answer
    x = 2,204.31

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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.