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Finding the Fourth Proportional to 2,639.87, 3,960.01 and 692.06

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Solution

The fourth proportional to 2,639.87, 3,960.01 and 692.06 is: 1,038.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.87 : 3,960.01 = 692.06 : x
  2. Step 2: Convert to fraction form
    2,639.87/3,960.01 = 692.06/x
  3. Step 3: Cross multiply
    2,639.87x = 3,960.01 × 692.06
  4. Step 4: Simplify right side
    2,639.87x = 2,740,575.29
  5. Step 5: Solve for x
    x = 2,740,575.29/2,639.87
  6. Step 6: Final answer
    x = 1,038.15

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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.