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Finding the Fourth Proportional to 2,775, 4,162.91 and 1,605.63

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Solution

The fourth proportional to 2,775, 4,162.91 and 1,605.63 is: 2,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775 : 4,162.91 = 1,605.63 : x
  2. Step 2: Convert to fraction form
    2,775/4,162.91 = 1,605.63/x
  3. Step 3: Cross multiply
    2,775x = 4,162.91 × 1,605.63
  4. Step 4: Simplify right side
    2,775x = 6,684,093.18
  5. Step 5: Solve for x
    x = 6,684,093.18/2,775
  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.