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Finding the Fourth Proportional to 3,318.72, 4,578.28 and 2,654

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Solution

The fourth proportional to 3,318.72, 4,578.28 and 2,654 is: 3,661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.72 : 4,578.28 = 2,654 : x
  2. Step 2: Convert to fraction form
    3,318.72/4,578.28 = 2,654/x
  3. Step 3: Cross multiply
    3,318.72x = 4,578.28 × 2,654
  4. Step 4: Simplify right side
    3,318.72x = 12,150,755.12
  5. Step 5: Solve for x
    x = 12,150,755.12/3,318.72
  6. Step 6: Final answer
    x = 3,661.28

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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.