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Finding the Fourth Proportional to 6,388.57, 9,586.56 and 2,690.50

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Solution

The fourth proportional to 6,388.57, 9,586.56 and 2,690.50 is: 4,037.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.57 : 9,586.56 = 2,690.50 : x
  2. Step 2: Convert to fraction form
    6,388.57/9,586.56 = 2,690.50/x
  3. Step 3: Cross multiply
    6,388.57x = 9,586.56 × 2,690.50
  4. Step 4: Simplify right side
    6,388.57x = 25,792,639.68
  5. Step 5: Solve for x
    x = 25,792,639.68/6,388.57
  6. Step 6: Final answer
    x = 4,037.31

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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.