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Finding the Fourth Proportional to 2,599.58, 3,890.10 and 2,082.90

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Solution

The fourth proportional to 2,599.58, 3,890.10 and 2,082.90 is: 3,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599.58 : 3,890.10 = 2,082.90 : x
  2. Step 2: Convert to fraction form
    2,599.58/3,890.10 = 2,082.90/x
  3. Step 3: Cross multiply
    2,599.58x = 3,890.10 × 2,082.90
  4. Step 4: Simplify right side
    2,599.58x = 8,102,689.29
  5. Step 5: Solve for x
    x = 8,102,689.29/2,599.58
  6. Step 6: Final answer
    x = 3,116.92

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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.