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Finding the Fourth Proportional to 3,702.12, 5,551.56 and 1,392

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Solution

The fourth proportional to 3,702.12, 5,551.56 and 1,392 is: 2,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.12 : 5,551.56 = 1,392 : x
  2. Step 2: Convert to fraction form
    3,702.12/5,551.56 = 1,392/x
  3. Step 3: Cross multiply
    3,702.12x = 5,551.56 × 1,392
  4. Step 4: Simplify right side
    3,702.12x = 7,727,771.52
  5. Step 5: Solve for x
    x = 7,727,771.52/3,702.12
  6. Step 6: Final answer
    x = 2,087.39

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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.