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Finding the Fourth Proportional to 2,613.80, 3,610.48 and 1,949.50

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Solution

The fourth proportional to 2,613.80, 3,610.48 and 1,949.50 is: 2,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.80 : 3,610.48 = 1,949.50 : x
  2. Step 2: Convert to fraction form
    2,613.80/3,610.48 = 1,949.50/x
  3. Step 3: Cross multiply
    2,613.80x = 3,610.48 × 1,949.50
  4. Step 4: Simplify right side
    2,613.80x = 7,038,630.76
  5. Step 5: Solve for x
    x = 7,038,630.76/2,613.80
  6. Step 6: Final answer
    x = 2,692.87

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