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Finding the Fourth Proportional to 3,065.58, 4,600.19 and 1,605.15

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Solution

The fourth proportional to 3,065.58, 4,600.19 and 1,605.15 is: 2,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.58 : 4,600.19 = 1,605.15 : x
  2. Step 2: Convert to fraction form
    3,065.58/4,600.19 = 1,605.15/x
  3. Step 3: Cross multiply
    3,065.58x = 4,600.19 × 1,605.15
  4. Step 4: Simplify right side
    3,065.58x = 7,383,998.99
  5. Step 5: Solve for x
    x = 7,383,998.99/3,065.58
  6. Step 6: Final answer
    x = 2,408.68

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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.