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Finding the Fourth Proportional to 2,765.85, 3,815.25 and 1,770.77

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Solution

The fourth proportional to 2,765.85, 3,815.25 and 1,770.77 is: 2,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.85 : 3,815.25 = 1,770.77 : x
  2. Step 2: Convert to fraction form
    2,765.85/3,815.25 = 1,770.77/x
  3. Step 3: Cross multiply
    2,765.85x = 3,815.25 × 1,770.77
  4. Step 4: Simplify right side
    2,765.85x = 6,755,911.17
  5. Step 5: Solve for x
    x = 6,755,911.17/2,765.85
  6. Step 6: Final answer
    x = 2,442.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.