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Finding the Fourth Proportional to 2,773.90, 4,160.88 and 1,605.70

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Solution

The fourth proportional to 2,773.90, 4,160.88 and 1,605.70 is: 2,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.90 : 4,160.88 = 1,605.70 : x
  2. Step 2: Convert to fraction form
    2,773.90/4,160.88 = 1,605.70/x
  3. Step 3: Cross multiply
    2,773.90x = 4,160.88 × 1,605.70
  4. Step 4: Simplify right side
    2,773.90x = 6,681,125.02
  5. Step 5: Solve for x
    x = 6,681,125.02/2,773.90
  6. Step 6: Final answer
    x = 2,408.57

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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.