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Finding the Fourth Proportional to 3,607.60, 5,408.73 and 1,415.20

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Solution

The fourth proportional to 3,607.60, 5,408.73 and 1,415.20 is: 2,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.60 : 5,408.73 = 1,415.20 : x
  2. Step 2: Convert to fraction form
    3,607.60/5,408.73 = 1,415.20/x
  3. Step 3: Cross multiply
    3,607.60x = 5,408.73 × 1,415.20
  4. Step 4: Simplify right side
    3,607.60x = 7,654,434.70
  5. Step 5: Solve for x
    x = 7,654,434.70/3,607.60
  6. Step 6: Final answer
    x = 2,121.75

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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.