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Finding the Fourth Proportional to 3,651.75, 5,475.20 and 1,702.89

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Solution

The fourth proportional to 3,651.75, 5,475.20 and 1,702.89 is: 2,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.75 : 5,475.20 = 1,702.89 : x
  2. Step 2: Convert to fraction form
    3,651.75/5,475.20 = 1,702.89/x
  3. Step 3: Cross multiply
    3,651.75x = 5,475.20 × 1,702.89
  4. Step 4: Simplify right side
    3,651.75x = 9,323,654.81
  5. Step 5: Solve for x
    x = 9,323,654.81/3,651.75
  6. Step 6: Final answer
    x = 2,553.20

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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.