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Finding the Fourth Proportional to 6,388.40, 9,568.76 and 3,094.61

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Solution

The fourth proportional to 6,388.40, 9,568.76 and 3,094.61 is: 4,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.40 : 9,568.76 = 3,094.61 : x
  2. Step 2: Convert to fraction form
    6,388.40/9,568.76 = 3,094.61/x
  3. Step 3: Cross multiply
    6,388.40x = 9,568.76 × 3,094.61
  4. Step 4: Simplify right side
    6,388.40x = 29,611,517.07
  5. Step 5: Solve for x
    x = 29,611,517.07/6,388.40
  6. Step 6: Final answer
    x = 4,635.20

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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.