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Finding the Fourth Proportional to 2,615.02, 3,604.10 and 2,082.85

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Solution

The fourth proportional to 2,615.02, 3,604.10 and 2,082.85 is: 2,870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.02 : 3,604.10 = 2,082.85 : x
  2. Step 2: Convert to fraction form
    2,615.02/3,604.10 = 2,082.85/x
  3. Step 3: Cross multiply
    2,615.02x = 3,604.10 × 2,082.85
  4. Step 4: Simplify right side
    2,615.02x = 7,506,780.26
  5. Step 5: Solve for x
    x = 7,506,780.26/2,615.02
  6. Step 6: Final answer
    x = 2,870.64

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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.