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Finding the Fourth Proportional to 3,519.80, 4,866.60 and 3,082.40

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Solution

The fourth proportional to 3,519.80, 4,866.60 and 3,082.40 is: 4,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.80 : 4,866.60 = 3,082.40 : x
  2. Step 2: Convert to fraction form
    3,519.80/4,866.60 = 3,082.40/x
  3. Step 3: Cross multiply
    3,519.80x = 4,866.60 × 3,082.40
  4. Step 4: Simplify right side
    3,519.80x = 15,000,807.84
  5. Step 5: Solve for x
    x = 15,000,807.84/3,519.80
  6. Step 6: Final answer
    x = 4,261.84

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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.